diff --git a/lib/rules/file-extension-in-import.js b/lib/rules/file-extension-in-import.js
index defb0904..4c6d4e94 100644
--- a/lib/rules/file-extension-in-import.js
+++ b/lib/rules/file-extension-in-import.js
@@ -8,6 +8,8 @@ const path = require("path")
 const fs = require("fs")
 const getImportExportTargets = require("../util/get-import-export-targets")
 const getTryExtensions = require("../util/get-try-extensions")
+const packageNamePattern = /^(?:@[^/\\]+[/\\])?[^/\\]+$/u
+const corePackageOverridePattern = /^(?:assert|async_hooks|buffer|child_process|cluster|console|constants|crypto|dgram|dns|domain|events|fs|http|http2|https|inspector|module|net|os|path|perf_hooks|process|punycode|querystring|readline|repl|stream|string_decoder|sys|timers|tls|trace_events|tty|url|util|v8|vm|worker_threads|zlib)[/\\]$/u
 
 /**
  * Get all file extensions of the files which have the same basename.
@@ -69,7 +71,11 @@ module.exports = {
 
         function verify({ filePath, name, node }) {
             // Ignore if it's not resolved to a file or it's a bare module.
-            if (!filePath || !/[/\\]/u.test(name)) {
+            if (
+                !filePath ||
+                packageNamePattern.test(name) ||
+                corePackageOverridePattern.test(name)
+            ) {
                 return
             }
 
diff --git a/package.json b/package.json
index cd2e0458..29292550 100644
--- a/package.json
+++ b/package.json
@@ -29,6 +29,7 @@
     "mocha": "^6.1.4",
     "nyc": "^14.0.0",
     "opener": "^1.5.1",
+    "punycode": "^2.1.1",
     "rimraf": "^2.6.3"
   },
   "scripts": {
diff --git a/tests/lib/rules/file-extension-in-import.js b/tests/lib/rules/file-extension-in-import.js
index b7ab5a09..45701d26 100644
--- a/tests/lib/rules/file-extension-in-import.js
+++ b/tests/lib/rules/file-extension-in-import.js
@@ -32,6 +32,18 @@ new RuleTester({
             filename: fixture("test.js"),
             code: "import 'eslint'",
         },
+        {
+            filename: fixture("test.js"),
+            code: "import '@typescript-eslint/parser'",
+        },
+        {
+            filename: fixture("test.js"),
+            code: "import '@typescript-eslint\\parser'",
+        },
+        {
+            filename: fixture("test.js"),
+            code: "import 'punycode/'",
+        },
         {
             filename: fixture("test.js"),
             code: "import 'xxx'",