diff --git a/test/parallel/test-eslint-prefer-primordials.js b/test/parallel/test-eslint-prefer-primordials.js
index 143ddd2b0d118f..aa7f1940675f77 100644
--- a/test/parallel/test-eslint-prefer-primordials.js
+++ b/test/parallel/test-eslint-prefer-primordials.js
@@ -81,6 +81,23 @@ new RuleTester({
         code: 'const { Map } = primordials; new Map()',
         options: [{ name: 'Map', into: 'Safe' }],
       },
+      {
+        code: `
+          const { Function } = primordials;
+          const rename = Function;
+          const obj = { rename };
+        `,
+        options: [{ name: 'Function' }],
+      },
+      {
+        code: `
+          const { Function } = primordials;
+          let rename;
+          rename = Function;
+          const obj = { rename };
+        `,
+        options: [{ name: 'Function' }],
+      },
     ],
     invalid: [
       {
@@ -158,6 +175,16 @@ new RuleTester({
         options: [{ name: 'Reflect' }],
         errors: [{ message: /const { ReflectOwnKeys } = primordials/ }]
       },
+      {
+        code: `
+          const { Reflect } = primordials;
+          module.exports = function() {
+            const { ownKeys } = Reflect;
+          }
+        `,
+        options: [{ name: 'Reflect' }],
+        errors: [{ message: /const { ReflectOwnKeys } = primordials/ }]
+      },
       {
         code: 'new Map()',
         options: [{ name: 'Map', into: 'Safe' }],
@@ -171,5 +198,36 @@ new RuleTester({
         options: [{ name: 'Function' }],
         errors: [{ message: /const { FunctionPrototype } = primordials/ }]
       },
+      {
+        code: `
+          const obj = { Function };
+        `,
+        options: [{ name: 'Function' }],
+        errors: [{ message: /const { Function } = primordials/ }]
+      },
+      {
+        code: `
+          const rename = Function;
+        `,
+        options: [{ name: 'Function' }],
+        errors: [{ message: /const { Function } = primordials/ }]
+      },
+      {
+        code: `
+          const rename = Function;
+          const obj = { rename };
+        `,
+        options: [{ name: 'Function' }],
+        errors: [{ message: /const { Function } = primordials/ }]
+      },
+      {
+        code: `
+          let rename;
+          rename = Function;
+          const obj = { rename };
+        `,
+        options: [{ name: 'Function' }],
+        errors: [{ message: /const { Function } = primordials/ }]
+      },
     ]
   });
diff --git a/tools/eslint-rules/prefer-primordials.js b/tools/eslint-rules/prefer-primordials.js
index 02b00a7e3b1f12..b30527eaf423a4 100644
--- a/tools/eslint-rules/prefer-primordials.js
+++ b/tools/eslint-rules/prefer-primordials.js
@@ -54,7 +54,7 @@ function getDestructuringAssignmentParent(scope, node) {
   ) {
     return null;
   }
-  return declaration.defs[0].node.init.name;
+  return declaration.defs[0].node.init;
 }
 
 const identifierSelector =
@@ -94,17 +94,20 @@ module.exports = {
           return;
         }
         const name = node.name;
-        const parentName = getDestructuringAssignmentParent(
+        const parent = getDestructuringAssignmentParent(
           context.getScope(),
           node
         );
+        const parentName = parent?.name;
         if (!isTarget(nameMap, name) && !isTarget(nameMap, parentName)) {
           return;
         }
 
         const defs = globalScope.set.get(name)?.defs;
         if (parentName && isTarget(nameMap, parentName)) {
-          if (!defs || defs[0].name.name !== 'primordials') {
+          if (defs?.[0].name.name !== 'primordials' &&
+              !reported.has(parent.range[0]) &&
+              parent.parent?.id?.type !== 'Identifier') {
             reported.add(node.range[0]);
             const into = renameMap.get(name);
             context.report({
@@ -147,7 +150,20 @@ module.exports = {
             }
           });
         }
-      }
+      },
+      VariableDeclarator(node) {
+        const name = node.init?.name;
+        if (name !== undefined && isTarget(nameMap, name) &&
+            node.id.type === 'Identifier' &&
+            !globalScope.set.get(name)?.defs.length) {
+          reported.add(node.init.range[0]);
+          context.report({
+            node,
+            messageId: 'error',
+            data: { name },
+          });
+        }
+      },
     };
   }
 };