diff --git a/test/parallel/test-eslint-prefer-primordials.js b/test/parallel/test-eslint-prefer-primordials.js
index 61b6b6327279cc..30c8cd25355c5a 100644
--- a/test/parallel/test-eslint-prefer-primordials.js
+++ b/test/parallel/test-eslint-prefer-primordials.js
@@ -99,6 +99,34 @@ new RuleTester({
         `,
         options: [{ name: 'Function' }],
       },
+      {
+        code: 'function identifier() {}',
+        options: [{ name: 'identifier' }]
+      },
+      {
+        code: 'function* identifier() {}',
+        options: [{ name: 'identifier' }]
+      },
+      {
+        code: 'class identifier {}',
+        options: [{ name: 'identifier' }]
+      },
+      {
+        code: 'new class { identifier(){} }',
+        options: [{ name: 'identifier' }]
+      },
+      {
+        code: 'const a = { identifier: \'4\' }',
+        options: [{ name: 'identifier' }]
+      },
+      {
+        code: 'identifier:{const a = 4}',
+        options: [{ name: 'identifier' }]
+      },
+      {
+        code: 'switch(0){case identifier:}',
+        options: [{ name: 'identifier' }]
+      },
     ],
     invalid: [
       {
diff --git a/tools/eslint-rules/prefer-primordials.js b/tools/eslint-rules/prefer-primordials.js
index 7ddff5396409fa..d2531556de225d 100644
--- a/tools/eslint-rules/prefer-primordials.js
+++ b/tools/eslint-rules/prefer-primordials.js
@@ -57,8 +57,18 @@ function getDestructuringAssignmentParent(scope, node) {
   return declaration.defs[0].node.init;
 }
 
-const identifierSelector =
-  '[type!=VariableDeclarator][type!=MemberExpression]>Identifier';
+const parentSelectors = [
+  // We want to select identifiers that refer to other references, not the ones
+  // that create a new reference.
+  'ClassDeclaration',
+  'FunctionDeclaration',
+  'LabeledStatement',
+  'MemberExpression',
+  'MethodDefinition',
+  'SwitchCase',
+  'VariableDeclarator',
+];
+const identifierSelector = parentSelectors.map((selector) => `[type!=${selector}]`).join('') + '>Identifier';
 
 module.exports = {
   meta: {
@@ -90,6 +100,11 @@ module.exports = {
         reported = new Set();
       },
       [identifierSelector](node) {
+        if (node.parent.type === 'Property' && node.parent.key === node) {
+          // If the identifier is the key for this property declaration, it
+          // can't be referring to a primordials member.
+          return;
+        }
         if (reported.has(node.range[0])) {
           return;
         }