diff --git a/package.json b/package.json
index 595ad20a..f5185bc5 100644
--- a/package.json
+++ b/package.json
@@ -62,14 +62,14 @@
     "eslint-plugin-node": ">=9.1.0",
     "eslint-plugin-promise": ">=4.2.1",
     "eslint-plugin-standard": ">=4.0.0",
-    "@typescript-eslint/eslint-plugin": ">=1.12.0"
+    "@typescript-eslint/eslint-plugin": ">=1.13.0"
   },
   "devDependencies": {
     "@commitlint/cli": "^8.1.0",
     "@commitlint/config-conventional": "^8.1.0",
     "@commitlint/travis-cli": "^8.1.0",
     "@types/node": "^12.7.1",
-    "@typescript-eslint/eslint-plugin": "^1.12.0",
+    "@typescript-eslint/eslint-plugin": "^1.13.0",
     "ava": "^2.2.0",
     "eslint": "^6.1.0",
     "eslint-plugin-import": "^2.18.2",
diff --git a/src/index.test.ts b/src/index.test.ts
index 06dbd698..c639e578 100644
--- a/src/index.test.ts
+++ b/src/index.test.ts
@@ -18,6 +18,7 @@ test('export', (t): void => {
           'no-unused-vars': 'off',
           'no-use-before-define': 'off',
           'no-useless-constructor': 'off',
+          'require-await': 'off',
           '@typescript-eslint/adjacent-overload-signatures': 'error',
           '@typescript-eslint/array-type': ['error', 'array-simple'],
           '@typescript-eslint/camelcase': ['error', { properties: 'never' }],
@@ -56,6 +57,7 @@ test('export', (t): void => {
           '@typescript-eslint/no-floating-promises': 'error',
           '@typescript-eslint/no-for-in-array': 'error',
           '@typescript-eslint/no-misused-new': 'error',
+          '@typescript-eslint/no-misused-promises': 'error',
           '@typescript-eslint/no-namespace': 'error',
           '@typescript-eslint/no-non-null-assertion': 'error',
           '@typescript-eslint/no-object-literal-type-assertion': 'error',
@@ -70,6 +72,7 @@ test('export', (t): void => {
           '@typescript-eslint/promise-function-async': 'error',
           '@typescript-eslint/restrict-plus-operands': 'error',
           '@typescript-eslint/require-array-sort-compare': 'error',
+          '@typescript-eslint/require-await': 'error',
           '@typescript-eslint/strict-boolean-expressions': 'error',
           '@typescript-eslint/triple-slash-reference': ['error', { lib: 'never', path: 'never', types: 'never' }],
           '@typescript-eslint/type-annotation-spacing': 'error'
diff --git a/src/index.ts b/src/index.ts
index 36800554..afacfb1d 100644
--- a/src/index.ts
+++ b/src/index.ts
@@ -17,6 +17,7 @@ export = {
         'no-unused-vars': 'off',
         'no-use-before-define': 'off',
         'no-useless-constructor': 'off',
+        'require-await': 'off',
 
         // @typescript-eslint versions of Standard.js rules:
         '@typescript-eslint/camelcase': ['error', { properties: 'never' }],
@@ -39,6 +40,7 @@ export = {
         '@typescript-eslint/no-unused-vars': ['error', { args: 'none' }],
         '@typescript-eslint/no-use-before-define': ['error', { functions: false, classes: false, variables: false, typedefs: false }],
         '@typescript-eslint/no-useless-constructor': 'error',
+        '@typescript-eslint/require-await': 'error',
 
         // New Typescript-only rules:
         '@typescript-eslint/adjacent-overload-signatures': 'error',
@@ -62,6 +64,7 @@ export = {
         '@typescript-eslint/no-floating-promises': 'error',
         '@typescript-eslint/no-for-in-array': 'error',
         '@typescript-eslint/no-misused-new': 'error',
+        '@typescript-eslint/no-misused-promises': 'error',
         '@typescript-eslint/no-namespace': 'error',
         '@typescript-eslint/no-non-null-assertion': 'error',
         '@typescript-eslint/no-object-literal-type-assertion': 'error',