diff --git a/docs/rules/prefer-regex-literals.md b/docs/rules/prefer-regex-literals.md
index 01d4149cf207..f4dab73ff6f3 100644
--- a/docs/rules/prefer-regex-literals.md
+++ b/docs/rules/prefer-regex-literals.md
@@ -84,6 +84,36 @@ RegExp(`${prefix}abc`);
 new RegExp(String.raw`^\d\. ${sufix}`);
 ```
 
+## Options
+
+This rule has an object option:
+
+* `disallowRedundantWrapping` set to `true` additionally checks for unnecessarily wrapped regex literals (Default `false`).
+
+### `disallowRedundantWrapping`
+
+By default, this rule doesn’t check when a regex literal is unnecessarily wrapped in a `RegExp` constructor call. When the option `disallowRedundantWrapping` is set to `true`, the rule will also disallow such unnecessary patterns.
+
+Examples of `incorrect` code for `{ "disallowRedundantWrapping": true }`
+
+```js
+/*eslint prefer-regex-literal: ["error", {"disallowRedundantWrapping": true}]*/
+new RegExp(/abc/);
+
+new RegExp(/abc/, 'u');
+```
+
+Examples of `correct` code for `{ "disallowRedundantWrapping": true }`
+
+```js
+/*eslint prefer-regex-literal: ["error", {"disallowRedundantWrapping": true}]*/
+/abc/;
+
+/abc/u;
+
+new RegExp(/abc/, flags);
+```
+
 ## Further Reading
 
 * [MDN: Regular Expressions](https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Regular_Expressions)
diff --git a/lib/rules/prefer-regex-literals.js b/lib/rules/prefer-regex-literals.js
index 47b2b090f829..02b8a2d18568 100644
--- a/lib/rules/prefer-regex-literals.js
+++ b/lib/rules/prefer-regex-literals.js
@@ -25,6 +25,15 @@ function isStringLiteral(node) {
     return node.type === "Literal" && typeof node.value === "string";
 }
 
+/**
+ * Determines whether the given node is a regex literal.
+ * @param {ASTNode} node Node to check.
+ * @returns {boolean} True if the node is a regex literal.
+ */
+function isRegexLiteral(node) {
+    return node.type === "Literal" && Object.prototype.hasOwnProperty.call(node, "regex");
+}
+
 /**
  * Determines whether the given node is a template literal without expressions.
  * @param {ASTNode} node Node to check.
@@ -50,14 +59,27 @@ module.exports = {
             url: "https://eslint.org/docs/rules/prefer-regex-literals"
         },
 
-        schema: [],
+        schema: [
+            {
+                type: "object",
+                properties: {
+                    disallowRedundantWrapping: {
+                        type: "boolean",
+                        default: false
+                    }
+                },
+                additionalProperties: false
+            }
+        ],
 
         messages: {
-            unexpectedRegExp: "Use a regular expression literal instead of the 'RegExp' constructor."
+            unexpectedRegExp: "Use a regular expression literal instead of the 'RegExp' constructor.",
+            unexpectedRedundantRegExp: "Regular expression literal is unnecessarily wrapped within a 'RegExp' constructor."
         }
     },
 
     create(context) {
+        const [{ disallowRedundantWrapping = false } = {}] = context.options;
 
         /**
          * Determines whether the given identifier node is a reference to a global variable.
@@ -98,6 +120,40 @@ module.exports = {
                 isStringRawTaggedStaticTemplateLiteral(node);
         }
 
+        /**
+         * Determines whether the relevant arguments of the given are all static string literals.
+         * @param {ASTNode} node Node to check.
+         * @returns {boolean} True if all arguments are static strings.
+         */
+        function hasOnlyStaticStringArguments(node) {
+            const args = node.arguments;
+
+            if ((args.length === 1 || args.length === 2) && args.every(isStaticString)) {
+                return true;
+            }
+
+            return false;
+        }
+
+        /**
+         * Determines whether the arguments of the given node indicate that a regex literal is unnecessarily wrapped.
+         * @param {ASTNode} node Node to check.
+         * @returns {boolean} True if the node already contains a regex literal argument.
+         */
+        function isUnnecessarilyWrappedRegexLiteral(node) {
+            const args = node.arguments;
+
+            if (args.length === 1 && isRegexLiteral(args[0])) {
+                return true;
+            }
+
+            if (args.length === 2 && isRegexLiteral(args[0]) && isStaticString(args[1])) {
+                return true;
+            }
+
+            return false;
+        }
+
         return {
             Program() {
                 const scope = context.getScope();
@@ -110,12 +166,9 @@ module.exports = {
                 };
 
                 for (const { node } of tracker.iterateGlobalReferences(traceMap)) {
-                    const args = node.arguments;
-
-                    if (
-                        (args.length === 1 || args.length === 2) &&
-                        args.every(isStaticString)
-                    ) {
+                    if (disallowRedundantWrapping && isUnnecessarilyWrappedRegexLiteral(node)) {
+                        context.report({ node, messageId: "unexpectedRedundantRegExp" });
+                    } else if (hasOnlyStaticStringArguments(node)) {
                         context.report({ node, messageId: "unexpectedRegExp" });
                     }
                 }
diff --git a/tests/lib/rules/prefer-regex-literals.js b/tests/lib/rules/prefer-regex-literals.js
index e263ef03dc7a..8cde127c7057 100644
--- a/tests/lib/rules/prefer-regex-literals.js
+++ b/tests/lib/rules/prefer-regex-literals.js
@@ -41,6 +41,12 @@ ruleTester.run("prefer-regex-literals", rule, {
         "new RegExp(String.raw`a${''}c`);",
         "new RegExp('a' + 'b')",
         "RegExp(1)",
+        "new RegExp(/a/, 'u');",
+        "new RegExp(/a/);",
+        {
+            code: "new RegExp(/a/, flags);",
+            options: [{ disallowRedundantWrapping: true }]
+        },
 
         // invalid number of arguments
         "new RegExp;",
@@ -177,6 +183,16 @@ ruleTester.run("prefer-regex-literals", rule, {
         {
             code: "RegExp('a', String.raw`g`);",
             errors: [{ messageId: "unexpectedRegExp", type: "CallExpression" }]
+        },
+        {
+            code: "new RegExp(/a/);",
+            options: [{ disallowRedundantWrapping: true }],
+            errors: [{ messageId: "unexpectedRedundantRegExp", type: "NewExpression", line: 1, column: 1 }]
+        },
+        {
+            code: "new RegExp(/a/, 'u');",
+            options: [{ disallowRedundantWrapping: true }],
+            errors: [{ messageId: "unexpectedRedundantRegExp", type: "NewExpression", line: 1, column: 1 }]
         }
     ]
 });