diff --git a/package.json b/package.json
index e48a5e12..417fef1d 100644
--- a/package.json
+++ b/package.json
@@ -55,7 +55,7 @@
     "TypeScript"
   ],
   "dependencies": {
-    "@typescript-eslint/parser": "^2.0.0",
+    "@typescript-eslint/parser": "^2.1.0",
     "eslint-config-standard": "^14.0.0"
   },
   "peerDependencies": {
@@ -71,7 +71,7 @@
     "@commitlint/config-conventional": "^8.2.0",
     "@commitlint/travis-cli": "^8.2.0",
     "@types/node": "^12.7.9",
-    "@typescript-eslint/eslint-plugin": "^2.0.0",
+    "@typescript-eslint/eslint-plugin": "^2.1.0",
     "ava": "^2.4.0",
     "editorconfig-checker": "^3.0.3",
     "eslint": "^6.5.1",
diff --git a/src/index.test.ts b/src/index.test.ts
index fe63b710..f4ba562b 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',
+          quotes: 'off',
           'require-await': 'off',
           '@typescript-eslint/adjacent-overload-signatures': 'error',
           '@typescript-eslint/array-type': ['error', { default: 'array-simple' }],
@@ -33,7 +34,8 @@ test('export', (t): void => {
           '@typescript-eslint/explicit-function-return-type': ['error', {
             allowExpressions: true,
             allowHigherOrderFunctions: true,
-            allowTypedFunctionExpressions: true
+            allowTypedFunctionExpressions: true,
+            allowDirectConstAssertionInArrowFunctions: true
           }],
           '@typescript-eslint/indent': ['error', 2, {
             SwitchCase: 1,
@@ -75,6 +77,7 @@ test('export', (t): void => {
           '@typescript-eslint/prefer-function-type': 'error',
           '@typescript-eslint/prefer-readonly': 'error',
           '@typescript-eslint/promise-function-async': 'error',
+          '@typescript-eslint/quotes': ['error', 'single', { avoidEscape: true, allowTemplateLiterals: false }],
           '@typescript-eslint/restrict-plus-operands': 'error',
           '@typescript-eslint/require-array-sort-compare': 'error',
           '@typescript-eslint/require-await': 'error',
diff --git a/src/index.ts b/src/index.ts
index 5af800a6..43d00fb9 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',
+        quotes: 'off',
         'require-await': 'off',
 
         // @typescript-eslint versions of Standard.js rules:
@@ -40,6 +41,7 @@ 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/quotes': ['error', 'single', { avoidEscape: true, allowTemplateLiterals: false }],
         '@typescript-eslint/require-await': 'error',
 
         // New Typescript-only rules:
@@ -56,7 +58,8 @@ export = {
         '@typescript-eslint/explicit-function-return-type': ['error', {
           allowExpressions: true,
           allowHigherOrderFunctions: true,
-          allowTypedFunctionExpressions: true
+          allowTypedFunctionExpressions: true,
+          allowDirectConstAssertionInArrowFunctions: true
         }],
         '@typescript-eslint/member-delimiter-style': [
           'error',