diff --git a/.travis.yml b/.travis.yml
index 58e7a47..f7b0e9d 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -21,8 +21,12 @@ jobs:
       script: npm run test
 
     - stage: Integration tests
-      name: "Truffle 5.x"
-      script: ./test-integration/simple-project-truffle-5.x/run.sh
+      name: "Truffle 5.0.1"
+      script: ./test-integration/simple-project-truffle-5.0.1/run.sh
+
+    - stage: Integration tests
+      name: "Truffle with web3 1.2.0"
+      script: ./test-integration/simple-project-truffle-web3-1.2.0/run.sh
 
     - stage: Integration tests
       name: "Ganache Core 2.1.x"
diff --git a/CHANGELOG.md b/CHANGELOG.md
index ed35f9b..19b114f 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -1,5 +1,8 @@
 # Changelog
 
+## 0.4.1 (unreleased)
+ * Added support for web3 ^1.2.0 (included by truffle v5.0.29). ([#63](https://github.com/OpenZeppelin/openzeppelin-test-helpers/pull/63))
+
 ## 0.4.0 (2019-05-23)
  * Fixed `shouldFail.reverting.withMessage` on non-Ganache chains. ([#25](https://github.com/OpenZeppelin/openzeppelin-test-helpers/pull/25))
  * Fixed `send.transaction` not working on contracts with a fallback function. ([#26](https://github.com/OpenZeppelin/openzeppelin-test-helpers/pull/26))
diff --git a/package-lock.json b/package-lock.json
index 3da02a2..44d23fc 100644
--- a/package-lock.json
+++ b/package-lock.json
@@ -195,12 +195,6 @@
       "resolved": "https://registry.npmjs.org/bignumber.js/-/bignumber.js-7.2.1.tgz",
       "integrity": "sha512-S4XzBk5sMB+Rcb/LNcpzXr57VRTxgAvaAEDAl1AwRx27j00hT84O6OkteE7u8UB3NuaaygCRrEpqox4uDOrbdQ=="
     },
-    "bindings": {
-      "version": "1.3.1",
-      "resolved": "https://registry.npmjs.org/bindings/-/bindings-1.3.1.tgz",
-      "integrity": "sha512-i47mqjF9UbjxJhxGf+pZ6kSxrnI3wBLlnGI2ArWJ4r0VrvDS7ZYXkprq/pLaBWYq4GM0r4zdHY+NNRqEMU7uew==",
-      "dev": true
-    },
     "bl": {
       "version": "1.2.2",
       "resolved": "https://registry.npmjs.org/bl/-/bl-1.2.2.tgz",
@@ -283,9 +277,9 @@
       "integrity": "sha1-EsJe/kCkXjwyPrhnWgoM5XsiNx8="
     },
     "browser-stdout": {
-      "version": "1.3.0",
-      "resolved": "https://registry.npmjs.org/browser-stdout/-/browser-stdout-1.3.0.tgz",
-      "integrity": "sha1-81HTKWnTL6XXpVZxVCY9korjvR8=",
+      "version": "1.3.1",
+      "resolved": "https://registry.npmjs.org/browser-stdout/-/browser-stdout-1.3.1.tgz",
+      "integrity": "sha512-qhAVI1+Av2X7qelOfAIYwXONood6XlZE/fXaBSmW/T5SzLAmCgzi+eiWE7fUvbHaeNBQH13UftjpXxsfLkMpgw==",
       "dev": true
     },
     "browserify-aes": {
@@ -430,12 +424,6 @@
       "integrity": "sha1-r6uWJikQp/M8GaV3WCXGnzTjUMo=",
       "dev": true
     },
-    "camelcase": {
-      "version": "4.1.0",
-      "resolved": "https://registry.npmjs.org/camelcase/-/camelcase-4.1.0.tgz",
-      "integrity": "sha1-1UVjW+HjPFQmScaRc+Xeas+uNN0=",
-      "dev": true
-    },
     "caseless": {
       "version": "0.12.0",
       "resolved": "https://registry.npmjs.org/caseless/-/caseless-0.12.0.tgz",
@@ -513,28 +501,11 @@
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       "dev": true
     },
-    "cliui": {
-      "version": "4.1.0",
-      "resolved": "https://registry.npmjs.org/cliui/-/cliui-4.1.0.tgz",
-      "integrity": "sha512-4FG+RSG9DL7uEwRUZXZn3SS34DiDPfzP0VOiEwtUWlE+AR2EIg+hSyvrIgUUfhdgR/UkAeW2QHgeP+hWrXs7jQ==",
-      "dev": true,
-      "requires": {
-        "string-width": "^2.1.1",
-        "strip-ansi": "^4.0.0",
-        "wrap-ansi": "^2.0.0"
-      }
-    },
     "co": {
       "version": "4.6.0",
       "resolved": "https://registry.npmjs.org/co/-/co-4.6.0.tgz",
       "integrity": "sha1-bqa989hTrlTMuOR7+gvz+QMfsYQ="
     },
-    "code-point-at": {
-      "version": "1.1.0",
-      "resolved": "https://registry.npmjs.org/code-point-at/-/code-point-at-1.1.0.tgz",
-      "integrity": "sha1-DQcLTQQ6W+ozovGkDi7bPZpMz3c=",
-      "dev": true
-    },
     "color-convert": {
       "version": "1.9.3",
       "resolved": "https://registry.npmjs.org/color-convert/-/color-convert-1.9.3.tgz",
@@ -699,12 +670,6 @@
         "ms": "^2.1.1"
       }
     },
-    "decamelize": {
-      "version": "1.2.0",
-      "resolved": "https://registry.npmjs.org/decamelize/-/decamelize-1.2.0.tgz",
-      "integrity": "sha1-9lNNFRSCabIDUue+4m9QH5oZEpA=",
-      "dev": true
-    },
     "decode-uri-component": {
       "version": "0.2.0",
       "resolved": "https://registry.npmjs.org/decode-uri-component/-/decode-uri-component-0.2.0.tgz",
@@ -847,9 +812,9 @@
       "integrity": "sha1-l4hXRCxEdJ5CBmE+N5RiBYJqvYA="
     },
     "diff": {
-      "version": "3.3.1",
-      "resolved": "https://registry.npmjs.org/diff/-/diff-3.3.1.tgz",
-      "integrity": "sha512-MKPHZDMB0o6yHyDryUOScqZibp914ksXwAMYMTHj6KO8UeKsRYNJD3oNCKjTqZon+V488P7N/HzXF8t7ZR95ww==",
+      "version": "3.5.0",
+      "resolved": "https://registry.npmjs.org/diff/-/diff-3.5.0.tgz",
+      "integrity": "sha512-A46qtFgd+g7pDZinpnwiRJtxbC1hpgf0uzP3iG89scHk0AUC7A1TGxf5OiiOUv/JMZR8GOt8hL900hV0bOy5xA==",
       "dev": true
     },
     "diffie-hellman": {
@@ -1416,34 +1381,6 @@
         "safe-buffer": "^5.1.1"
       }
     },
-    "execa": {
-      "version": "0.7.0",
-      "resolved": "https://registry.npmjs.org/execa/-/execa-0.7.0.tgz",
-      "integrity": "sha1-lEvs00zEHuMqY6n68nrVpl/Fl3c=",
-      "dev": true,
-      "requires": {
-        "cross-spawn": "^5.0.1",
-        "get-stream": "^3.0.0",
-        "is-stream": "^1.1.0",
-        "npm-run-path": "^2.0.0",
-        "p-finally": "^1.0.0",
-        "signal-exit": "^3.0.0",
-        "strip-eof": "^1.0.0"
-      },
-      "dependencies": {
-        "cross-spawn": {
-          "version": "5.1.0",
-          "resolved": "https://registry.npmjs.org/cross-spawn/-/cross-spawn-5.1.0.tgz",
-          "integrity": "sha1-6L0O/uWPz/b4+UUQoKVUu/ojVEk=",
-          "dev": true,
-          "requires": {
-            "lru-cache": "^4.0.1",
-            "shebang-command": "^1.2.0",
-            "which": "^1.2.9"
-          }
-        }
-      }
-    },
     "express": {
       "version": "4.16.4",
       "resolved": "https://registry.npmjs.org/express/-/express-4.16.4.tgz",
@@ -1664,19 +1601,6 @@
       "resolved": "https://registry.npmjs.org/fs-constants/-/fs-constants-1.0.0.tgz",
       "integrity": "sha512-y6OAwoSIf7FyjMIv94u+b5rdheZEjzR63GTyZJm5qh4Bi+2YgwLCcI/fPFZkL5PSixOt6ZNKm+w+Hfp/Bciwow=="
     },
-    "fs-extra": {
-      "version": "0.30.0",
-      "resolved": "https://registry.npmjs.org/fs-extra/-/fs-extra-0.30.0.tgz",
-      "integrity": "sha1-8jP/zAjU2n1DLapEl3aYnbHfk/A=",
-      "dev": true,
-      "requires": {
-        "graceful-fs": "^4.1.2",
-        "jsonfile": "^2.1.0",
-        "klaw": "^1.0.0",
-        "path-is-absolute": "^1.0.0",
-        "rimraf": "^2.2.8"
-      }
-    },
     "fs-promise": {
       "version": "2.0.3",
       "resolved": "https://registry.npmjs.org/fs-promise/-/fs-promise-2.0.3.tgz",
@@ -1727,9 +1651,9 @@
       "dev": true
     },
     "ganache-cli": {
-      "version": "6.2.5",
-      "resolved": "https://registry.npmjs.org/ganache-cli/-/ganache-cli-6.2.5.tgz",
-      "integrity": "sha512-E4SP8QNeuc2N/ojFoCK+08OYHX8yrtGeFtipZmJPPTQ6U8Hmq3JcbXZDxQfChPQUY5mtbRSwptJa4EtiQyJjAQ==",
+      "version": "6.5.0",
+      "resolved": "https://registry.npmjs.org/ganache-cli/-/ganache-cli-6.5.0.tgz",
+      "integrity": "sha512-z0NAozUg/JFWhisIxYlRLyCoZfO+X2W2ao6BAyCkgwAON1Xvj1n+xSZb8YQm1ShOPQQXFrodsYasYGHwvf+PMQ==",
       "dev": true,
       "requires": {
         "bn.js": "4.11.8",
@@ -2105,12 +2029,6 @@
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       }
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-    "get-caller-file": {
-      "version": "1.0.3",
-      "resolved": "https://registry.npmjs.org/get-caller-file/-/get-caller-file-1.0.3.tgz",
-      "integrity": "sha512-3t6rVToeoZfYSGd8YoLFR2DJkiQrIiUrGcjvFX2mDw3bn6k2OtwHN0TNCLbBO+w8qTvimhDkv+LSscbJY1vE6w==",
-      "dev": true
-    },
     "get-func-name": {
       "version": "2.0.0",
       "resolved": "https://registry.npmjs.org/get-func-name/-/get-func-name-2.0.0.tgz",
@@ -2190,9 +2108,9 @@
       "integrity": "sha1-TK+tdrxi8C+gObL5Tpo906ORpyU="
     },
     "growl": {
-      "version": "1.10.3",
-      "resolved": "https://registry.npmjs.org/growl/-/growl-1.10.3.tgz",
-      "integrity": "sha512-hKlsbA5Vu3xsh1Cg3J7jSmX/WaW6A5oBeqzM88oNbCRQFz+zUaXm6yxS4RVytp1scBoJzSYl4YAEOQIt6O8V1Q==",
+      "version": "1.10.5",
+      "resolved": "https://registry.npmjs.org/growl/-/growl-1.10.5.tgz",
+      "integrity": "sha512-qBr4OuELkhPenW6goKVXiv47US3clb3/IbuWF9KNKEijAy9oeHxU9IgzjvJhHkUzhaj7rOUD7+YGWqUjLp5oSA==",
       "dev": true
     },
     "har-schema": {
@@ -2383,12 +2301,6 @@
         "through": "^2.3.6"
       }
     },
-    "invert-kv": {
-      "version": "1.0.0",
-      "resolved": "https://registry.npmjs.org/invert-kv/-/invert-kv-1.0.0.tgz",
-      "integrity": "sha1-EEqOSqym09jNFXqO+L+rLXo//bY=",
-      "dev": true
-    },
     "ipaddr.js": {
       "version": "1.8.0",
       "resolved": "https://registry.npmjs.org/ipaddr.js/-/ipaddr.js-1.8.0.tgz",
@@ -2584,18 +2496,6 @@
         "verror": "1.10.0"
       }
     },
-    "keccak": {
-      "version": "1.4.0",
-      "resolved": "https://registry.npmjs.org/keccak/-/keccak-1.4.0.tgz",
-      "integrity": "sha512-eZVaCpblK5formjPjeTBik7TAg+pqnDrMHIffSvi9Lh7PQgM1+hSzakUeZFCk9DVVG0dacZJuaz2ntwlzZUIBw==",
-      "dev": true,
-      "requires": {
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-        "inherits": "^2.0.3",
-        "nan": "^2.2.1",
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-    },
     "keccakjs": {
       "version": "0.2.3",
       "resolved": "https://registry.npmjs.org/keccakjs/-/keccakjs-0.2.3.tgz",
@@ -2605,24 +2505,6 @@
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       }
     },
-    "klaw": {
-      "version": "1.3.1",
-      "resolved": "https://registry.npmjs.org/klaw/-/klaw-1.3.1.tgz",
-      "integrity": "sha1-QIhDO0azsbolnXh4XY6W9zugJDk=",
-      "dev": true,
-      "requires": {
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-      }
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-    "lcid": {
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-      "resolved": "https://registry.npmjs.org/lcid/-/lcid-1.0.0.tgz",
-      "integrity": "sha1-MIrMr6C8SDo4Z7S28rlQYlHRuDU=",
-      "dev": true,
-      "requires": {
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-      }
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@@ -2662,16 +2544,6 @@
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-      "dev": true,
-      "requires": {
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-        "yallist": "^2.1.2"
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@@ -2702,21 +2574,6 @@
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-      "dev": true,
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@@ -2813,23 +2670,30 @@
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+      "version": "5.2.0",
+      "resolved": "https://registry.npmjs.org/mocha/-/mocha-5.2.0.tgz",
+      "integrity": "sha512-2IUgKDhc3J7Uug+FxMXuqIyYzH7gJjXECKe/w43IGgQHTSj3InJi+yAA7T24L9bQMRKiUEHxEX37G5JpVUGLcQ==",
       "dev": true,
       "requires": {
-        "browser-stdout": "1.3.0",
-        "commander": "2.11.0",
+        "browser-stdout": "1.3.1",
+        "commander": "2.15.1",
         "debug": "3.1.0",
-        "diff": "3.3.1",
+        "diff": "3.5.0",
         "escape-string-regexp": "1.0.5",
         "glob": "7.1.2",
-        "growl": "1.10.3",
+        "growl": "1.10.5",
         "he": "1.1.1",
+        "minimatch": "3.0.4",
         "mkdirp": "0.5.1",
-        "supports-color": "4.4.0"
+        "supports-color": "5.4.0"
       },
       "dependencies": {
+        "commander": {
+          "version": "2.15.1",
+          "resolved": "https://registry.npmjs.org/commander/-/commander-2.15.1.tgz",
+          "integrity": "sha512-VlfT9F3V0v+jr4yxPc5gg9s62/fIVWsd2Bk2iD435um1NlGMYdVCq+MjcXnhYq2icNOizHr1kK+5TI6H0Hy0ag==",
+          "dev": true
+        },
         "debug": {
           "version": "3.1.0",
           "resolved": "https://registry.npmjs.org/debug/-/debug-3.1.0.tgz",
@@ -2853,12 +2717,6 @@
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-          "resolved": "https://registry.npmjs.org/has-flag/-/has-flag-2.0.0.tgz",
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+          "version": "5.4.0",
+          "resolved": "https://registry.npmjs.org/supports-color/-/supports-color-5.4.0.tgz",
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           "dev": true,
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-            "has-flag": "^2.0.0"
+            "has-flag": "^3.0.0"
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@@ -2946,21 +2804,6 @@
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-      "version": "2.0.2",
-      "resolved": "https://registry.npmjs.org/npm-run-path/-/npm-run-path-2.0.2.tgz",
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@@ -3267,12 +3099,6 @@
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@@ -3413,24 +3239,6 @@
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-      "version": "2.0.2",
-      "resolved": "https://registry.npmjs.org/require-from-string/-/require-from-string-2.0.2.tgz",
-      "integrity": "sha512-Xf0nWe6RseziFMu+Ap9biiUbmplq6S9/p+7w7YXP/JBHhrUDDUhwa+vANyubuqfZWTveU//DYVGsDG7RKL/vEw==",
-      "dev": true
-    },
-    "require-main-filename": {
-      "version": "1.0.1",
-      "resolved": "https://registry.npmjs.org/require-main-filename/-/require-main-filename-1.0.1.tgz",
-      "integrity": "sha1-l/cXtp1IeE9fUmpsWqj/3aBVpNE=",
-      "dev": true
-    },
     "require-uncached": {
       "version": "1.0.3",
       "resolved": "https://registry.npmjs.org/require-uncached/-/require-uncached-1.0.3.tgz",
@@ -3633,12 +3441,6 @@
         "xhr": "^2.3.3"
       }
     },
-    "set-blocking": {
-      "version": "2.0.0",
-      "resolved": "https://registry.npmjs.org/set-blocking/-/set-blocking-2.0.0.tgz",
-      "integrity": "sha1-BF+XgtARrppoA93TgrJDkrPYkPc=",
-      "dev": true
-    },
     "setimmediate": {
       "version": "1.0.4",
       "resolved": "https://registry.npmjs.org/setimmediate/-/setimmediate-1.0.4.tgz",
@@ -3720,20 +3522,6 @@
         "is-fullwidth-code-point": "^2.0.0"
       }
     },
-    "solc": {
-      "version": "0.5.0",
-      "resolved": "https://registry.npmjs.org/solc/-/solc-0.5.0.tgz",
-      "integrity": "sha512-mdLHDl9WeYrN+FIKcMc9PlPfnA9DG9ur5QpCDKcv6VC4RINAsTF4EMuXMZMKoQTvZhtLyJIVH/BZ+KU830Z8Xg==",
-      "dev": true,
-      "requires": {
-        "fs-extra": "^0.30.0",
-        "keccak": "^1.0.2",
-        "memorystream": "^0.3.1",
-        "require-from-string": "^2.0.0",
-        "semver": "^5.5.0",
-        "yargs": "^11.0.0"
-      }
-    },
     "spdx-correct": {
       "version": "3.0.2",
       "resolved": "https://registry.npmjs.org/spdx-correct/-/spdx-correct-3.0.2.tgz",
@@ -3843,12 +3631,6 @@
         "is-natural-number": "^4.0.1"
       }
     },
-    "strip-eof": {
-      "version": "1.0.0",
-      "resolved": "https://registry.npmjs.org/strip-eof/-/strip-eof-1.0.0.tgz",
-      "integrity": "sha1-u0P/VZim6wXYm1n80SnJgzE2Br8=",
-      "dev": true
-    },
     "strip-hex-prefix": {
       "version": "1.0.0",
       "resolved": "https://registry.npmjs.org/strip-hex-prefix/-/strip-hex-prefix-1.0.0.tgz",
@@ -4026,15 +3808,14 @@
       }
     },
     "truffle": {
-      "version": "5.0.1",
-      "resolved": "https://registry.npmjs.org/truffle/-/truffle-5.0.1.tgz",
-      "integrity": "sha512-SCmbpZGUutMo1zwGPL+xEa80VC8FrnMFqsS/M1WTZUTsU7SrUO+CNuS9s0DDbFuWW8bMAH36YY/9mRwS1imZ/A==",
+      "version": "5.0.29",
+      "resolved": "https://registry.npmjs.org/truffle/-/truffle-5.0.29.tgz",
+      "integrity": "sha512-jYAxjzTNgpHDAZ3QQPww8OBouhA8vucDRJmnmw61KwZEpuZZ2gP4uLjSSeHGT0AiFfouz7Aen6dpwTinrNCLWQ==",
       "dev": true,
       "requires": {
         "app-module-path": "^2.2.0",
-        "mocha": "^4.1.0",
-        "original-require": "1.0.1",
-        "solc": "0.5.0"
+        "mocha": "5.2.0",
+        "original-require": "1.0.1"
       }
     },
     "truffle-blockchain-utils": {
@@ -4739,7 +4520,7 @@
       "requires": {
         "underscore": "1.8.3",
         "web3-core-helpers": "1.0.0-beta.37",
-        "websocket": "git://github.com/frozeman/WebSocket-Node.git#browserifyCompatible"
+        "websocket": "git://github.com/frozeman/WebSocket-Node.git#6c72925e3f8aaaea8dc8450f97627e85263999f2"
       }
     },
     "web3-shh": {
@@ -4801,65 +4582,12 @@
         "isexe": "^2.0.0"
       }
     },
-    "which-module": {
-      "version": "2.0.0",
-      "resolved": "https://registry.npmjs.org/which-module/-/which-module-2.0.0.tgz",
-      "integrity": "sha1-2e8H3Od7mQK4o6j6SzHD4/fm6Ho=",
-      "dev": true
-    },
     "wordwrap": {
       "version": "1.0.0",
       "resolved": "https://registry.npmjs.org/wordwrap/-/wordwrap-1.0.0.tgz",
       "integrity": "sha1-J1hIEIkUVqQXHI0CJkQa3pDLyus=",
       "dev": true
     },
-    "wrap-ansi": {
-      "version": "2.1.0",
-      "resolved": "https://registry.npmjs.org/wrap-ansi/-/wrap-ansi-2.1.0.tgz",
-      "integrity": "sha1-2Pw9KE3QV5T+hJc8rs3Rz4JP3YU=",
-      "dev": true,
-      "requires": {
-        "string-width": "^1.0.1",
-        "strip-ansi": "^3.0.1"
-      },
-      "dependencies": {
-        "ansi-regex": {
-          "version": "2.1.1",
-          "resolved": "https://registry.npmjs.org/ansi-regex/-/ansi-regex-2.1.1.tgz",
-          "integrity": "sha1-w7M6te42DYbg5ijwRorn7yfWVN8=",
-          "dev": true
-        },
-        "is-fullwidth-code-point": {
-          "version": "1.0.0",
-          "resolved": "https://registry.npmjs.org/is-fullwidth-code-point/-/is-fullwidth-code-point-1.0.0.tgz",
-          "integrity": "sha1-754xOG8DGn8NZDr4L95QxFfvAMs=",
-          "dev": true,
-          "requires": {
-            "number-is-nan": "^1.0.0"
-          }
-        },
-        "string-width": {
-          "version": "1.0.2",
-          "resolved": "https://registry.npmjs.org/string-width/-/string-width-1.0.2.tgz",
-          "integrity": "sha1-EYvfW4zcUaKn5w0hHgfisLmxB9M=",
-          "dev": true,
-          "requires": {
-            "code-point-at": "^1.0.0",
-            "is-fullwidth-code-point": "^1.0.0",
-            "strip-ansi": "^3.0.0"
-          }
-        },
-        "strip-ansi": {
-          "version": "3.0.1",
-          "resolved": "https://registry.npmjs.org/strip-ansi/-/strip-ansi-3.0.1.tgz",
-          "integrity": "sha1-ajhfuIU9lS1f8F0Oiq+UJ43GPc8=",
-          "dev": true,
-          "requires": {
-            "ansi-regex": "^2.0.0"
-          }
-        }
-      }
-    },
     "wrappy": {
       "version": "1.0.2",
       "resolved": "https://registry.npmjs.org/wrappy/-/wrappy-1.0.2.tgz",
@@ -4935,63 +4663,11 @@
       "resolved": "https://registry.npmjs.org/xtend/-/xtend-4.0.1.tgz",
       "integrity": "sha1-pcbVMr5lbiPbgg77lDofBJmNY68="
     },
-    "y18n": {
-      "version": "3.2.1",
-      "resolved": "https://registry.npmjs.org/y18n/-/y18n-3.2.1.tgz",
-      "integrity": "sha1-bRX7qITAhnnA136I53WegR4H+kE=",
-      "dev": true
-    },
     "yaeti": {
       "version": "0.0.6",
       "resolved": "https://registry.npmjs.org/yaeti/-/yaeti-0.0.6.tgz",
       "integrity": "sha1-8m9ITXJoTPQr7ft2lwqhYI+/lXc="
     },
-    "yallist": {
-      "version": "2.1.2",
-      "resolved": "https://registry.npmjs.org/yallist/-/yallist-2.1.2.tgz",
-      "integrity": "sha1-HBH5IY8HYImkfdUS+TxmmaaoHVI=",
-      "dev": true
-    },
-    "yargs": {
-      "version": "11.1.0",
-      "resolved": "https://registry.npmjs.org/yargs/-/yargs-11.1.0.tgz",
-      "integrity": "sha512-NwW69J42EsCSanF8kyn5upxvjp5ds+t3+udGBeTbFnERA+lF541DDpMawzo4z6W/QrzNM18D+BPMiOBibnFV5A==",
-      "dev": true,
-      "requires": {
-        "cliui": "^4.0.0",
-        "decamelize": "^1.1.1",
-        "find-up": "^2.1.0",
-        "get-caller-file": "^1.0.1",
-        "os-locale": "^2.0.0",
-        "require-directory": "^2.1.1",
-        "require-main-filename": "^1.0.1",
-        "set-blocking": "^2.0.0",
-        "string-width": "^2.0.0",
-        "which-module": "^2.0.0",
-        "y18n": "^3.2.1",
-        "yargs-parser": "^9.0.2"
-      },
-      "dependencies": {
-        "find-up": {
-          "version": "2.1.0",
-          "resolved": "https://registry.npmjs.org/find-up/-/find-up-2.1.0.tgz",
-          "integrity": "sha1-RdG35QbHF93UgndaK3eSCjwMV6c=",
-          "dev": true,
-          "requires": {
-            "locate-path": "^2.0.0"
-          }
-        }
-      }
-    },
-    "yargs-parser": {
-      "version": "9.0.2",
-      "resolved": "https://registry.npmjs.org/yargs-parser/-/yargs-parser-9.0.2.tgz",
-      "integrity": "sha1-nM9qQ0YP5O1Aqbto9I1DuKaMwHc=",
-      "dev": true,
-      "requires": {
-        "camelcase": "^4.1.0"
-      }
-    },
     "yauzl": {
       "version": "2.10.0",
       "resolved": "https://registry.npmjs.org/yauzl/-/yauzl-2.10.0.tgz",
diff --git a/package.json b/package.json
index e87c421..3a607bb 100644
--- a/package.json
+++ b/package.json
@@ -51,8 +51,8 @@
     "eslint-plugin-node": "^8.0.0",
     "eslint-plugin-promise": "^4.0.1",
     "eslint-plugin-standard": "^4.0.0",
-    "ganache-cli": "^6.2.5",
-    "truffle": "^5.0.1"
+    "ganache-cli": "^6.5.0",
+    "truffle": "^5.0.29"
   },
   "peerDependencies": {
     "chai": "^4.2.0"
diff --git a/src/configure-web3.js b/src/configure-web3.js
index afde0ed..535f431 100644
--- a/src/configure-web3.js
+++ b/src/configure-web3.js
@@ -12,7 +12,7 @@ function setWeb3 (web3) {
   }
 
   // this could be taken from package.dependencies in the future
-  const requiredVersion = '1.0.0-beta.37';
+  const requiredVersion = '1.0.0-beta.37 || ^1.2.0';
 
   if (!semver.satisfies(web3.version, requiredVersion)) {
     throw new Error(`web3@${web3.version} detected, incompatible with requirement of web3@${requiredVersion}`);
diff --git a/test-integration/run-all.sh b/test-integration/run-all.sh
index 7dc1a26..93dff1d 100755
--- a/test-integration/run-all.sh
+++ b/test-integration/run-all.sh
@@ -1,5 +1,6 @@
 #!/bin/bash
 
-./test-integration/simple-project-truffle-5.x/run.sh
+./test-integration/simple-project-truffle-5.0.1/run.sh
+./test-integration/simple-project-truffle-web3-1.2.0/run.sh
 ./test-integration/ganache-core-2.1.x/run.sh
 ./test-integration/truffle-migration/run.sh
diff --git a/test-integration/simple-project-truffle-5.0.1/.gitignore b/test-integration/simple-project-truffle-5.0.1/.gitignore
new file mode 100644
index 0000000..3424ff9
--- /dev/null
+++ b/test-integration/simple-project-truffle-5.0.1/.gitignore
@@ -0,0 +1 @@
+simple-project-truffle-template
diff --git a/test-integration/simple-project-truffle-5.0.1/run.sh b/test-integration/simple-project-truffle-5.0.1/run.sh
new file mode 100755
index 0000000..4871366
--- /dev/null
+++ b/test-integration/simple-project-truffle-5.0.1/run.sh
@@ -0,0 +1,9 @@
+#!/bin/bash
+
+set -o errexit
+
+cd "$(dirname $0)"
+
+cp -r ../simple-project-truffle-template .
+
+./simple-project-truffle-template/run.sh
diff --git a/test-integration/simple-project-truffle-5.x/.gitignore b/test-integration/simple-project-truffle-template/.gitignore
similarity index 100%
rename from test-integration/simple-project-truffle-5.x/.gitignore
rename to test-integration/simple-project-truffle-template/.gitignore
diff --git a/test-integration/simple-project-truffle-5.x/contracts/Tested.sol b/test-integration/simple-project-truffle-template/contracts/Tested.sol
similarity index 100%
rename from test-integration/simple-project-truffle-5.x/contracts/Tested.sol
rename to test-integration/simple-project-truffle-template/contracts/Tested.sol
diff --git a/test-integration/simple-project-truffle-5.x/migrations/.gitkeep b/test-integration/simple-project-truffle-template/migrations/.gitkeep
similarity index 100%
rename from test-integration/simple-project-truffle-5.x/migrations/.gitkeep
rename to test-integration/simple-project-truffle-template/migrations/.gitkeep
diff --git a/test-integration/simple-project-truffle-5.x/package.json b/test-integration/simple-project-truffle-template/package.json
similarity index 75%
rename from test-integration/simple-project-truffle-5.x/package.json
rename to test-integration/simple-project-truffle-template/package.json
index f8b480c..11edb0a 100644
--- a/test-integration/simple-project-truffle-5.x/package.json
+++ b/test-integration/simple-project-truffle-template/package.json
@@ -1,5 +1,5 @@
 {
-  "name": "simple-project-truffle-5.x",
+  "name": "simple-project-truffle-5.0",
   "version": "1.0.0",
   "description": "",
   "main": "index.js",
@@ -10,6 +10,6 @@
   "license": "ISC",
   "devDependencies": {
     "chai": "^4.2.0",
-    "truffle": "^5.0.1"
+    "truffle": "5.0.1"
   }
 }
diff --git a/test-integration/simple-project-truffle-5.x/run.sh b/test-integration/simple-project-truffle-template/run.sh
similarity index 82%
rename from test-integration/simple-project-truffle-5.x/run.sh
rename to test-integration/simple-project-truffle-template/run.sh
index 1482ef0..357da64 100755
--- a/test-integration/simple-project-truffle-5.x/run.sh
+++ b/test-integration/simple-project-truffle-template/run.sh
@@ -5,7 +5,7 @@ set -o errexit
 cd "$(dirname $0)"
 
 # Get a package like a user would install
-pkg="$(npm pack ../../ 2> /dev/null)"
+pkg="$(npm pack ../../../ 2> /dev/null)"
 
 # Clean it up afterwards
 trap "rm -f $pkg" EXIT
diff --git a/test-integration/simple-project-truffle-5.x/test/Tested.test.js b/test-integration/simple-project-truffle-template/test/Tested.test.js
similarity index 100%
rename from test-integration/simple-project-truffle-5.x/test/Tested.test.js
rename to test-integration/simple-project-truffle-template/test/Tested.test.js
diff --git a/test-integration/simple-project-truffle-5.x/test/accounts.test.js b/test-integration/simple-project-truffle-template/test/accounts.test.js
similarity index 100%
rename from test-integration/simple-project-truffle-5.x/test/accounts.test.js
rename to test-integration/simple-project-truffle-template/test/accounts.test.js
diff --git a/test-integration/simple-project-truffle-5.x/truffle-config.js b/test-integration/simple-project-truffle-template/truffle-config.js
similarity index 100%
rename from test-integration/simple-project-truffle-5.x/truffle-config.js
rename to test-integration/simple-project-truffle-template/truffle-config.js
diff --git a/test-integration/simple-project-truffle-web3-1.2.0/.gitignore b/test-integration/simple-project-truffle-web3-1.2.0/.gitignore
new file mode 100644
index 0000000..3424ff9
--- /dev/null
+++ b/test-integration/simple-project-truffle-web3-1.2.0/.gitignore
@@ -0,0 +1 @@
+simple-project-truffle-template
diff --git a/test-integration/simple-project-truffle-web3-1.2.0/run.sh b/test-integration/simple-project-truffle-web3-1.2.0/run.sh
new file mode 100755
index 0000000..b4a2c92
--- /dev/null
+++ b/test-integration/simple-project-truffle-web3-1.2.0/run.sh
@@ -0,0 +1,12 @@
+#!/bin/bash
+
+set -o errexit
+
+cd "$(dirname $0)"
+
+cp -r ../simple-project-truffle-template .
+
+cd simple-project-truffle-template
+npm install truffle@5.0.29
+
+./run.sh