diff --git a/package.json b/package.json
index 4f4949ddd7d..8f10cdcae49 100644
--- a/package.json
+++ b/package.json
@@ -24,7 +24,7 @@
     "@testing-library/react": "^10.2.1",
     "@testing-library/user-event": "^12.0.2",
     "alex": "^8.0.0",
-    "eslint": "^6.1.0",
+    "eslint": "^7.3.0",
     "execa": "1.0.0",
     "fs-extra": "^9.0.0",
     "get-port": "^5.1.1",
diff --git a/packages/eslint-config-react-app/package.json b/packages/eslint-config-react-app/package.json
index bc92bac2c75..b152abd36d9 100644
--- a/packages/eslint-config-react-app/package.json
+++ b/packages/eslint-config-react-app/package.json
@@ -15,17 +15,20 @@
     "index.js"
   ],
   "peerDependencies": {
-    "@typescript-eslint/eslint-plugin": "2.x",
-    "@typescript-eslint/parser": "2.x",
-    "babel-eslint": "10.x",
-    "eslint": "6.x",
-    "eslint-plugin-flowtype": "3.x || 4.x",
-    "eslint-plugin-import": "2.x",
-    "eslint-plugin-jsx-a11y": "6.x",
-    "eslint-plugin-react": "7.x",
-    "eslint-plugin-react-hooks": "1.x || 2.x || 3.x || 4.x"
+    "@typescript-eslint/eslint-plugin": "^3.0.0",
+    "@typescript-eslint/parser": "^3.0.0",
+    "babel-eslint": "^10.0.0",
+    "eslint": "^7.0.0",
+    "eslint-plugin-flowtype": "^5.0.0",
+    "eslint-plugin-import": "^2.21.1",
+    "eslint-plugin-jsx-a11y": "^6.3.0",
+    "eslint-plugin-react": "^7.20.0",
+    "eslint-plugin-react-hooks": "^4.0.1"
   },
   "dependencies": {
     "confusing-browser-globals": "^1.0.9"
+  },
+  "engines": {
+    "node": "^10.12.0 || >=12.0.0"
   }
 }
diff --git a/packages/react-error-overlay/package.json b/packages/react-error-overlay/package.json
index 0c2f6cd5359..9f18b801e47 100644
--- a/packages/react-error-overlay/package.json
+++ b/packages/react-error-overlay/package.json
@@ -37,19 +37,20 @@
     "@babel/code-frame": "7.10.3",
     "@babel/core": "7.10.3",
     "anser": "1.4.9",
-    "babel-eslint": "10.1.0",
+    "babel-eslint": "^10.1.0",
     "babel-jest": "^26.0.1",
     "babel-loader": "8.1.0",
     "babel-preset-react-app": "^9.1.2",
     "chalk": "2.4.2",
     "chokidar": "^3.3.0",
     "cross-env": "7.0.2",
-    "eslint": "^6.1.0",
+    "eslint": "^7.3.0",
     "eslint-config-react-app": "^5.2.1",
-    "eslint-plugin-flowtype": "4.7.0",
-    "eslint-plugin-import": "2.20.2",
-    "eslint-plugin-jsx-a11y": "6.2.3",
-    "eslint-plugin-react": "7.20.0",
+    "eslint-plugin-flowtype": "^5.1.3",
+    "eslint-plugin-import": "^2.21.2",
+    "eslint-plugin-jsx-a11y": "^6.3.1",
+    "eslint-plugin-react": "^7.20.0",
+    "eslint-plugin-react-hooks": "^4.0.4",
     "flow-bin": "^0.116.0",
     "html-entities": "1.3.1",
     "jest": "26.0.1",
diff --git a/packages/react-scripts/package.json b/packages/react-scripts/package.json
index b29936753df..8c1d20dcc17 100644
--- a/packages/react-scripts/package.json
+++ b/packages/react-scripts/package.json
@@ -9,7 +9,7 @@
   },
   "license": "MIT",
   "engines": {
-    "node": ">=10"
+    "node": "^10.12.0 || >=12.0.0"
   },
   "bugs": {
     "url": "https://github.com/facebook/create-react-app/issues"
@@ -31,9 +31,9 @@
     "@babel/core": "7.10.3",
     "@pmmmwh/react-refresh-webpack-plugin": "0.3.3",
     "@svgr/webpack": "5.4.0",
-    "@typescript-eslint/eslint-plugin": "^2.10.0",
-    "@typescript-eslint/parser": "^2.10.0",
-    "babel-eslint": "10.1.0",
+    "@typescript-eslint/eslint-plugin": "^3.3.0",
+    "@typescript-eslint/parser": "^3.3.0",
+    "babel-eslint": "^10.1.0",
     "babel-jest": "^26.0.1",
     "babel-loader": "8.1.0",
     "babel-plugin-named-asset-import": "^0.3.6",
@@ -44,14 +44,14 @@
     "css-loader": "3.6.0",
     "dotenv": "8.2.0",
     "dotenv-expand": "5.1.0",
-    "eslint": "^6.6.0",
+    "eslint": "^7.3.0",
     "eslint-config-react-app": "^5.2.1",
-    "eslint-loader": "4.0.2",
-    "eslint-plugin-flowtype": "4.7.0",
-    "eslint-plugin-import": "2.20.2",
-    "eslint-plugin-jsx-a11y": "6.2.3",
-    "eslint-plugin-react": "7.20.0",
-    "eslint-plugin-react-hooks": "^4.0.0",
+    "eslint-loader": "^4.0.2",
+    "eslint-plugin-flowtype": "^5.1.3",
+    "eslint-plugin-import": "^2.21.2",
+    "eslint-plugin-jsx-a11y": "^6.3.1",
+    "eslint-plugin-react": "^7.20.0",
+    "eslint-plugin-react-hooks": "^4.0.4",
     "file-loader": "6.0.0",
     "fs-extra": "^9.0.0",
     "html-webpack-plugin": "4.3.0",