diff --git a/docs/rules/destructuring-assignment.md b/docs/rules/destructuring-assignment.md
index ac97b46cb0..e930b31cbb 100644
--- a/docs/rules/destructuring-assignment.md
+++ b/docs/rules/destructuring-assignment.md
@@ -91,7 +91,7 @@ const Foo = class extends React.PureComponent {
 
 ```js
 ...
-"react/destructuring-assignment": [<enabled>, "always", { "ignoreClassFields": <boolean>, "destructAtParameter": "always" | "ignore" }]
+"react/destructuring-assignment": [<enabled>, "always", { "ignoreClassFields": <boolean>, "destructureInSignature": "always" | "ignore" }]
 ...
 ```
 
@@ -105,11 +105,11 @@ class Foo extends React.PureComponent {
 }
 ```
 
-### `destructAtParameter` (default: "ignore")
+### `destructureInSignature` (default: "ignore")
 
 This option can be one of `always` or `ignore`. When configured with `always`, the rule will require props destructuring happens in the function signature.
 
-Examples of **incorrect** code for `destructAtParameter: 'always'` :
+Examples of **incorrect** code for `destructureInSignature: 'always'` :
 
 ```jsx
 function Foo(props) {
@@ -118,7 +118,7 @@ function Foo(props) {
 }
 ```
 
-Examples of **correct** code for `destructAtParameter: 'always'` :
+Examples of **correct** code for `destructureInSignature: 'always'` :
 
 ```jsx
 function Foo({a}) {
diff --git a/lib/rules/destructuring-assignment.js b/lib/rules/destructuring-assignment.js
index f0e2044ad6..2536bd671d 100644
--- a/lib/rules/destructuring-assignment.js
+++ b/lib/rules/destructuring-assignment.js
@@ -50,7 +50,7 @@ const messages = {
   noDestructContextInSFCArg: 'Must never use destructuring context assignment in SFC argument',
   noDestructAssignment: 'Must never use destructuring {{type}} assignment',
   useDestructAssignment: 'Must use destructuring {{type}} assignment',
-  destructAtParameter: 'Must destructure props in the function signature.',
+  destructureInSignature: 'Must destructure props in the function signature.',
 };
 
 module.exports = {
@@ -76,7 +76,7 @@ module.exports = {
         ignoreClassFields: {
           type: 'boolean',
         },
-        destructAtParameter: {
+        destructureInSignature: {
           type: 'string',
           enum: [
             'always',
@@ -91,7 +91,7 @@ module.exports = {
   create: Components.detect((context, components, utils) => {
     const configuration = context.options[0] || DEFAULT_OPTION;
     const ignoreClassFields = (context.options[1] && (context.options[1].ignoreClassFields === true)) || false;
-    const destructAtParameter = (context.options[1] && context.options[1].destructAtParameter) || 'ignore';
+    const destructureInSignature = (context.options[1] && context.options[1].destructureInSignature) || 'ignore';
     const sfcParams = createSFCParams();
 
     /**
@@ -244,9 +244,9 @@ module.exports = {
           SFCComponent
           && destructuringSFC
           && configuration === 'always'
-          && destructAtParameter === 'always'
+          && destructureInSignature === 'always'
           && node.init.name === 'props'
-       ) {
+        ) {
           const scopeSetProps = context.getScope().set.get('props');
           const propsRefs = scopeSetProps && scopeSetProps.references;
           if (!propsRefs) {
@@ -256,7 +256,7 @@ module.exports = {
           if (propsRefs.length > 1) {
             return;
           }
-          report(context, messages.destructAtParameter, 'destructAtParameter', {
+          report(context, messages.destructureInSignature, 'destructureInSignature', {
             node,
             fix(fixer) {
               const param = SFCComponent.node.params[0];
diff --git a/tests/lib/rules/destructuring-assignment.js b/tests/lib/rules/destructuring-assignment.js
index 978fd5cca7..ac104de085 100644
--- a/tests/lib/rules/destructuring-assignment.js
+++ b/tests/lib/rules/destructuring-assignment.js
@@ -5,6 +5,8 @@
 'use strict';
 
 const RuleTester = require('eslint').RuleTester;
+const semver = require('semver');
+const eslintPkg = require('eslint/package.json');
 const rule = require('../../../lib/rules/destructuring-assignment');
 
 const parsers = require('../../helpers/parsers');
@@ -345,7 +347,7 @@ ruleTester.run('destructuring-assignment', rule, {
           return <Goo {...props}>{a}</Goo>;
         }
       `,
-      options: ['always', { destructAtParameter: 'always' }],
+      options: ['always', { destructureInSignature: 'always' }],
     },
     {
       code: `
@@ -354,11 +356,11 @@ ruleTester.run('destructuring-assignment', rule, {
           return <Goo f={() => props}>{a}</Goo>;
         }
       `,
-      options: ['always', { destructAtParameter: 'always' }],
+      options: ['always', { destructureInSignature: 'always' }],
     },
   ]),
 
-  invalid: parsers.all([
+  invalid: parsers.all([].concat(
     {
       code: `
         const MyComponent = (props) => {
@@ -738,48 +740,51 @@ ruleTester.run('destructuring-assignment', rule, {
         },
       ],
     },
-    {
-      code: `
-        function Foo(props) {
-          const {a} = props;
-          return <p>{a}</p>;
-        }
-      `,
-      options: ['always', { destructAtParameter: 'always' }],
-      errors: [
-        {
-          messageId: 'destructAtParameter',
-          line: 3,
-        },
-      ],
-      output: `
-        function Foo({a}) {
-          
-          return <p>{a}</p>;
-        }
-      `,
-    },
-    {
-      code: `
-        function Foo(props: FooProps) {
-          const {a} = props;
-          return <p>{a}</p>;
-        }
-      `,
-      options: ['always', { destructAtParameter: 'always' }],
-      errors: [
-        {
-          messageId: 'destructAtParameter',
-          line: 3,
-        },
-      ],
-      output: `
-        function Foo({a}: FooProps) {
-          
-          return <p>{a}</p>;
-        }
-      `,
-      features: ['ts', 'no-babel'],
-    },
-  ]),
+    // Ignore for ESLint < 4 because ESLint < 4 does not support array fixer.
+    semver.satisfies(eslintPkg.version, '>= 4') ? [
+      {
+        code: `
+          function Foo(props) {
+            const {a} = props;
+            return <p>{a}</p>;
+          }
+        `,
+        options: ['always', { destructureInSignature: 'always' }],
+        errors: [
+          {
+            messageId: 'destructureInSignature',
+            line: 3,
+          },
+        ],
+        output: `
+          function Foo({a}) {
+            
+            return <p>{a}</p>;
+          }
+        `,
+      },
+      {
+        code: `
+          function Foo(props: FooProps) {
+            const {a} = props;
+            return <p>{a}</p>;
+          }
+        `,
+        options: ['always', { destructureInSignature: 'always' }],
+        errors: [
+          {
+            messageId: 'destructureInSignature',
+            line: 3,
+          },
+        ],
+        output: `
+          function Foo({a}: FooProps) {
+            
+            return <p>{a}</p>;
+          }
+        `,
+        features: ['ts', 'no-babel'],
+      },
+    ] : []
+  )),
 });