diff --git a/.travis.yml b/.travis.yml
index ee392c7703..b7eb96d7ae 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -3,7 +3,6 @@ node_js:
   - "14"
   - "12"
   - "10"
-  - "8"
 before_install:
   - 'nvm install-latest-npm'
 install:
@@ -16,6 +15,11 @@ script:
 sudo: false
 env:
   matrix:
+    - 'TEST=true ESLINT=7 PACKAGE=eslint-config-airbnb-base'
+    - 'TEST=true ESLINT=7 PACKAGE=eslint-config-airbnb'
+    - 'TEST=true ESLINT=7 REACT_HOOKS=3 PACKAGE=eslint-config-airbnb'
+    - 'TEST=true ESLINT=7 REACT_HOOKS=2.3 PACKAGE=eslint-config-airbnb'
+    - 'TEST=true ESLINT=7 REACT_HOOKS=1.7 PACKAGE=eslint-config-airbnb'
     - 'TEST=true ESLINT=6 PACKAGE=eslint-config-airbnb-base'
     - 'TEST=true ESLINT=6 PACKAGE=eslint-config-airbnb'
     - 'TEST=true ESLINT=6 REACT_HOOKS=3 PACKAGE=eslint-config-airbnb'
@@ -29,6 +33,17 @@ env:
 matrix:
   fast_finish: true
   include:
+    - node_js: "lts/*"
+      env: PREPUBLISH=true ESLINT=7 PACKAGE=eslint-config-airbnb-base
+    - node_js: "lts/*"
+      env: PREPUBLISH=true ESLINT=7 PACKAGE=eslint-config-airbnb
+    - node_js: "lts/*"
+      env: PREPUBLISH=true ESLINT=7 REACT_HOOKS=3 PACKAGE=eslint-config-airbnb
+    - node_js: "lts/*"
+      env: PREPUBLISH=true ESLINT=7 REACT_HOOKS=2.3 PACKAGE=eslint-config-airbnb
+    - node_js: "lts/*"
+      env: PREPUBLISH=true ESLINT=7 REACT_HOOKS=1.7 PACKAGE=eslint-config-airbnb
+    - node_js: "lts/*"
     - node_js: "lts/*"
       env: PREPUBLISH=true ESLINT=6 PACKAGE=eslint-config-airbnb-base
     - node_js: "lts/*"
@@ -55,6 +70,26 @@ matrix:
       env: LINT=true PACKAGE=eslint-config-airbnb
     - node_js: "lts/*"
       env: LINT=true PACKAGE=eslint-config-airbnb-base
+    - node_js: "8"
+      env: TEST=true ESLINT=6 PACKAGE=eslint-config-airbnb-base
+    - node_js: "8"
+      env: TEST=true ESLINT=6 PACKAGE=eslint-config-airbnb
+    - node_js: "8"
+      env: TEST=true ESLINT=6 REACT_HOOKS=3 PACKAGE=eslint-config-airbnb
+    - node_js: "8"
+      env: TEST=true ESLINT=6 REACT_HOOKS=2.3 PACKAGE=eslint-config-airbnb
+    - node_js: "8"
+      env: TEST=true ESLINT=6 REACT_HOOKS=1.7 PACKAGE=eslint-config-airbnb
+    - node_js: "8"
+      env: TEST=true ESLINT=5 PACKAGE=eslint-config-airbnb-base
+    - node_js: "8"
+      env: TEST=true ESLINT=5 PACKAGE=eslint-config-airbnb
+    - node_js: "8"
+      env: TEST=true ESLINT=5 REACT_HOOKS=3 PACKAGE=eslint-config-airbnb
+    - node_js: "8"
+      env: TEST=true ESLINT=5 REACT_HOOKS=2.3 PACKAGE=eslint-config-airbnb
+    - node_js: "8"
+      env: TEST=true ESLINT=5 REACT_HOOKS=1.7 PACKAGE=eslint-config-airbnb
     - node_js: "6"
       env: TEST=true ESLINT=5 PACKAGE=eslint-config-airbnb-base
     - node_js: "6"
diff --git a/packages/eslint-config-airbnb-base/package.json b/packages/eslint-config-airbnb-base/package.json
index 2957b06427..b691e1a3b2 100644
--- a/packages/eslint-config-airbnb-base/package.json
+++ b/packages/eslint-config-airbnb-base/package.json
@@ -57,7 +57,7 @@
     "babel-preset-airbnb": "^4.5.0",
     "babel-tape-runner": "^3.0.0",
     "eclint": "^2.8.1",
-    "eslint": "^5.16.0 || ^6.8.0",
+    "eslint": "^5.16.0 || ^6.8.0 || ^7.2.0",
     "eslint-find-rules": "^3.5.0",
     "eslint-plugin-import": "^2.21.2",
     "in-publish": "^2.0.1",
@@ -65,7 +65,7 @@
     "tape": "^5.0.1"
   },
   "peerDependencies": {
-    "eslint": "^5.16.0 || ^6.8.0",
+    "eslint": "^5.16.0 || ^6.8.0 || ^7.2.0",
     "eslint-plugin-import": "^2.21.2"
   },
   "engines": {
diff --git a/packages/eslint-config-airbnb-base/rules/best-practices.js b/packages/eslint-config-airbnb-base/rules/best-practices.js
index 0307c64345..8e1d991304 100644
--- a/packages/eslint-config-airbnb-base/rules/best-practices.js
+++ b/packages/eslint-config-airbnb-base/rules/best-practices.js
@@ -28,6 +28,11 @@ module.exports = {
     // require default case in switch statements
     'default-case': ['error', { commentPattern: '^no default$' }],
 
+    // Enforce default clauses in switch statements to be last
+    // https://eslint.org/docs/rules/default-case-last
+    // TODO: enable, semver-minor, when eslint v7 is required (which is a major)
+    'default-case-last': 'off',
+
     // https://eslint.org/docs/rules/default-param-last
     // TODO: enable, semver-minor, when eslint v6.4 is required (which is a major)
     'default-param-last': 'off',
diff --git a/packages/eslint-config-airbnb-base/rules/errors.js b/packages/eslint-config-airbnb-base/rules/errors.js
index e4cd542683..15b6130a20 100644
--- a/packages/eslint-config-airbnb-base/rules/errors.js
+++ b/packages/eslint-config-airbnb-base/rules/errors.js
@@ -91,6 +91,11 @@ module.exports = {
     // disallow irregular whitespace outside of strings and comments
     'no-irregular-whitespace': 'error',
 
+    // Disallow Number Literals That Lose Precision
+    // https://eslint.org/docs/rules/no-loss-of-precision
+    // TODO: enable, semver-minor, once eslint v7.1 is required (which is major)
+    'no-loss-of-precision': 'off',
+
     // Disallow characters which are made with multiple code points in character class syntax
     // https://eslint.org/docs/rules/no-misleading-character-class
     'no-misleading-character-class': 'error',
@@ -131,13 +136,19 @@ module.exports = {
     // disallow negating the left operand of relational operators
     // https://eslint.org/docs/rules/no-unsafe-negation
     'no-unsafe-negation': 'error',
+
+    // Disallow useless backreferences in regular expressions
+    // https://eslint.org/docs/rules/no-useless-backreference
+    // TODO: enable, semver-minor, once eslint v7 is required (which is major)
+    'no-useless-backreference': 'off',
+
     // disallow negation of the left operand of an in expression
     // deprecated in favor of no-unsafe-negation
     'no-negated-in-lhs': 'off',
 
     // Disallow assignments that can lead to race conditions due to usage of await or yield
     // https://eslint.org/docs/rules/require-atomic-updates
-    // TODO: enable, semver-major
+    // note: not enabled because it is very buggy
     'require-atomic-updates': 'off',
 
     // disallow comparisons with the value NaN
diff --git a/packages/eslint-config-airbnb-base/rules/es6.js b/packages/eslint-config-airbnb-base/rules/es6.js
index bfdc6d29e4..02c616dad5 100644
--- a/packages/eslint-config-airbnb-base/rules/es6.js
+++ b/packages/eslint-config-airbnb-base/rules/es6.js
@@ -60,6 +60,16 @@ module.exports = {
     // https://eslint.org/docs/rules/no-new-symbol
     'no-new-symbol': 'error',
 
+    // Disallow specified names in exports
+    // https://eslint.org/docs/rules/no-restricted-exports
+    // TODO enable, semver-minor, once eslint v7 is required (which is major)
+    'no-restricted-exports': ['off', {
+      restrictedNamedExports: [
+        'default', // use `export default` to provide a default export
+        'then', // this will cause tons of confusion when your module is dynamically `import()`ed
+      ],
+    }],
+
     // disallow specific imports
     // https://eslint.org/docs/rules/no-restricted-imports
     'no-restricted-imports': ['off', {
diff --git a/packages/eslint-config-airbnb/package.json b/packages/eslint-config-airbnb/package.json
index 0e08d078fc..97703e59b0 100644
--- a/packages/eslint-config-airbnb/package.json
+++ b/packages/eslint-config-airbnb/package.json
@@ -63,7 +63,7 @@
     "babel-preset-airbnb": "^4.5.0",
     "babel-tape-runner": "^3.0.0",
     "eclint": "^2.8.1",
-    "eslint": "^5.16.0 || ^6.8.0",
+    "eslint": "^5.16.0 || ^6.8.0 || ^7.2.0",
     "eslint-find-rules": "^3.5.0",
     "eslint-plugin-import": "^2.21.2",
     "eslint-plugin-jsx-a11y": "^6.2.3",
@@ -75,7 +75,7 @@
     "tape": "^5.0.1"
   },
   "peerDependencies": {
-    "eslint": "^5.16.0 || ^6.8.0",
+    "eslint": "^5.16.0 || ^6.8.0 || ^7.2.0",
     "eslint-plugin-import": "^2.21.2",
     "eslint-plugin-jsx-a11y": "^6.2.3",
     "eslint-plugin-react": "^7.20.0",