diff --git a/CHANGELOG.md b/CHANGELOG.md
index 586d6e08db85..9f1c8738fb6a 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -4,6 +4,8 @@
 
 ### Fixes
 
+- `[jest-environment-jsdom]` Bump version of JSDOM to avoid deprecated `request` package ([#11442](https://github.com/facebook/jest/pull/11442))
+
 ### Chore & Maintenance
 
 ### Performance
diff --git a/package.json b/package.json
index f95239f50366..247e770e3235 100644
--- a/package.json
+++ b/package.json
@@ -72,7 +72,6 @@
     "rimraf": "^3.0.0",
     "semver": "^7.3.2",
     "slash": "^3.0.0",
-    "stealthy-require": "^1.1.1",
     "string-length": "^4.0.1",
     "strip-ansi": "^6.0.0",
     "strip-json-comments": "^3.1.1",
diff --git a/packages/jest-environment-jsdom/package.json b/packages/jest-environment-jsdom/package.json
index 7f68b3b0aeb7..4308486b9f7c 100644
--- a/packages/jest-environment-jsdom/package.json
+++ b/packages/jest-environment-jsdom/package.json
@@ -20,7 +20,7 @@
     "@types/node": "*",
     "jest-mock": "^27.0.0-next.10",
     "jest-util": "^27.0.0-next.11",
-    "jsdom": "^16.4.0"
+    "jsdom": "^16.6.0"
   },
   "devDependencies": {
     "@jest/test-utils": "^27.0.0",
diff --git a/testSetupFile.js b/testSetupFile.js
index 7f73aec1ef96..ef9ed18680f6 100644
--- a/testSetupFile.js
+++ b/testSetupFile.js
@@ -8,6 +8,3 @@
 // Some of the `jest-runtime` tests are very slow and cause
 // timeouts on travis
 jest.setTimeout(70000);
-
-// this module does some funky stuff with `require.cache`, flooding the terminal with output
-jest.mock('stealthy-require', () => (_, m) => m());
diff --git a/yarn.lock b/yarn.lock
index 91f7990a60a5..eae8f77926af 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -2659,7 +2659,6 @@ __metadata:
     rimraf: ^3.0.0
     semver: ^7.3.2
     slash: ^3.0.0
-    stealthy-require: ^1.1.1
     string-length: ^4.0.1
     strip-ansi: ^6.0.0
     strip-json-comments: ^3.1.1
@@ -4747,9 +4746,9 @@ __metadata:
   linkType: hard
 
 "@types/node@npm:^14.0.27, @types/node@npm:^14.14.28":
-  version: 14.14.45
-  resolution: "@types/node@npm:14.14.45"
-  checksum: b9ad381a8cc5273bfd75d5870f57eed2b0978a5afe9e7e0347fcdb955e9fed502277a374c2837c3e1fe6a7ade58d53a460d954dbbe50e2f18bdd7e86075ffca9
+  version: 14.17.1
+  resolution: "@types/node@npm:14.17.1"
+  checksum: 3ab1180ff2579f4039aa2416087df03e4e8b5f930b64e024ad2b2ae73e546f6054c3bae0324180d425944c7c408c02fdf6ca71f5a265ed05f28aeaae0a2c3599
   languageName: node
   linkType: hard
 
@@ -5459,7 +5458,7 @@ __metadata:
   languageName: node
   linkType: hard
 
-"acorn@npm:^8.0.4, acorn@npm:^8.1.0":
+"acorn@npm:^8.0.4, acorn@npm:^8.2.4":
   version: 8.2.4
   resolution: "acorn@npm:8.2.4"
   bin:
@@ -12968,7 +12967,7 @@ fsevents@^1.2.7:
   languageName: node
   linkType: hard
 
-"is-potential-custom-element-name@npm:^1.0.0":
+"is-potential-custom-element-name@npm:^1.0.1":
   version: 1.0.1
   resolution: "is-potential-custom-element-name@npm:1.0.1"
   checksum: 25520ce8de393b87c8a2ce4d410c424d16baab0d5a43cbf76af148940725e489dbf3541a43371bcc0881fcb186d9a4ed18b774a11ac8743dd064303cea8de50d
@@ -13413,7 +13412,7 @@ fsevents@^1.2.7:
     "@types/node": "*"
     jest-mock: ^27.0.0-next.10
     jest-util: ^27.0.0-next.11
-    jsdom: ^16.4.0
+    jsdom: ^16.6.0
   languageName: unknown
   linkType: soft
 
@@ -14150,12 +14149,12 @@ fsevents@^1.2.7:
   languageName: node
   linkType: hard
 
-"jsdom@npm:^16.4.0":
-  version: 16.5.3
-  resolution: "jsdom@npm:16.5.3"
+"jsdom@npm:^16.6.0":
+  version: 16.6.0
+  resolution: "jsdom@npm:16.6.0"
   dependencies:
     abab: ^2.0.5
-    acorn: ^8.1.0
+    acorn: ^8.2.4
     acorn-globals: ^6.0.0
     cssom: ^0.4.4
     cssstyle: ^2.3.0
@@ -14163,12 +14162,13 @@ fsevents@^1.2.7:
     decimal.js: ^10.2.1
     domexception: ^2.0.1
     escodegen: ^2.0.0
+    form-data: ^3.0.0
     html-encoding-sniffer: ^2.0.1
-    is-potential-custom-element-name: ^1.0.0
+    http-proxy-agent: ^4.0.1
+    https-proxy-agent: ^5.0.0
+    is-potential-custom-element-name: ^1.0.1
     nwsapi: ^2.2.0
     parse5: 6.0.1
-    request: ^2.88.2
-    request-promise-native: ^1.0.9
     saxes: ^5.0.1
     symbol-tree: ^3.2.4
     tough-cookie: ^4.0.0
@@ -14178,14 +14178,14 @@ fsevents@^1.2.7:
     whatwg-encoding: ^1.0.5
     whatwg-mimetype: ^2.3.0
     whatwg-url: ^8.5.0
-    ws: ^7.4.4
+    ws: ^7.4.5
     xml-name-validator: ^3.0.0
   peerDependencies:
     canvas: ^2.5.0
   peerDependenciesMeta:
     canvas:
       optional: true
-  checksum: 02f6e3b5bb6c75f70b256f9fb522ce67cdf035c8e073a61f152876570d29453f164a4f1ea38a62e419511f81f6f75ced793e6332b66a647dc8012daacff27b8e
+  checksum: ee0c9ef2cf499d01d6186622a3788df72fa970a2eb695a237efebace6d99875a3402062842420badddad02cf1e90a0de88c65a266366721a45732144f7616db6
   languageName: node
   linkType: hard
 
@@ -20213,30 +20213,6 @@ react-native@0.64.0:
   languageName: node
   linkType: hard
 
-"request-promise-core@npm:1.1.4":
-  version: 1.1.4
-  resolution: "request-promise-core@npm:1.1.4"
-  dependencies:
-    lodash: ^4.17.19
-  peerDependencies:
-    request: ^2.34
-  checksum: 7c9c90bf00158f6669e7167425cd113edadaca44b5aebc7c6a7969d9f50d93bfae8275038bdf6389b4e94f1cacacca7e5830d28701692818bdfba353eeb2ddfd
-  languageName: node
-  linkType: hard
-
-"request-promise-native@npm:^1.0.9":
-  version: 1.0.9
-  resolution: "request-promise-native@npm:1.0.9"
-  dependencies:
-    request-promise-core: 1.1.4
-    stealthy-require: ^1.1.1
-    tough-cookie: ^2.3.3
-  peerDependencies:
-    request: ^2.34
-  checksum: 532570f00559f826ad372d36a152c3cf1aa184d0876b04ed7c18a9fa391fa2108978eca837ae1fb681d2dab63bd6c74c6660022b82ecdb2682d77859314d0b6e
-  languageName: node
-  linkType: hard
-
 "request@npm:^2.88.0, request@npm:^2.88.2":
   version: 2.88.2
   resolution: "request@npm:2.88.2"
@@ -21563,13 +21539,6 @@ react-native@0.64.0:
   languageName: node
   linkType: hard
 
-"stealthy-require@npm:^1.1.1":
-  version: 1.1.1
-  resolution: "stealthy-require@npm:1.1.1"
-  checksum: f24a9bc613817dea37afcbf64578f2ba0195916d906ebdaa1c1d5b8e9d51fd462cbf4c61ae04217babd0cf662e6c0115fd972dffa8e62a7f6f44f3109fb4c796
-  languageName: node
-  linkType: hard
-
 "stream-browserify@npm:^2.0.1":
   version: 2.0.2
   resolution: "stream-browserify@npm:2.0.2"
@@ -22441,16 +22410,6 @@ react-native@0.64.0:
   languageName: node
   linkType: hard
 
-"tough-cookie@npm:^2.3.3, tough-cookie@npm:~2.5.0":
-  version: 2.5.0
-  resolution: "tough-cookie@npm:2.5.0"
-  dependencies:
-    psl: ^1.1.28
-    punycode: ^2.1.1
-  checksum: bf5d6fac5ce0bebc5876cb9b9a79d3d9ea21c9e4099f3d3e64701d6ba170a052cb88cece6737ec2473bac4f0a4f6c75d46ec17985be8587c6bbdd38d91625cb4
-  languageName: node
-  linkType: hard
-
 "tough-cookie@npm:^4.0.0":
   version: 4.0.0
   resolution: "tough-cookie@npm:4.0.0"
@@ -22462,6 +22421,16 @@ react-native@0.64.0:
   languageName: node
   linkType: hard
 
+"tough-cookie@npm:~2.5.0":
+  version: 2.5.0
+  resolution: "tough-cookie@npm:2.5.0"
+  dependencies:
+    psl: ^1.1.28
+    punycode: ^2.1.1
+  checksum: bf5d6fac5ce0bebc5876cb9b9a79d3d9ea21c9e4099f3d3e64701d6ba170a052cb88cece6737ec2473bac4f0a4f6c75d46ec17985be8587c6bbdd38d91625cb4
+  languageName: node
+  linkType: hard
+
 "tr46@npm:^1.0.1":
   version: 1.0.1
   resolution: "tr46@npm:1.0.1"
@@ -24312,7 +24281,7 @@ react-native@0.64.0:
   languageName: node
   linkType: hard
 
-"ws@npm:^7, ws@npm:^7.3.1, ws@npm:^7.4.4":
+"ws@npm:^7, ws@npm:^7.3.1, ws@npm:^7.4.5":
   version: 7.4.5
   resolution: "ws@npm:7.4.5"
   peerDependencies: