diff --git a/lib/internal/http2/core.js b/lib/internal/http2/core.js
index d7d7fb99ae6..18e10fbd16a 100644
--- a/lib/internal/http2/core.js
+++ b/lib/internal/http2/core.js
@@ -25,6 +25,7 @@ const {
 } = primordials;
 
 const {
+  assignFunctionName,
   assertCrypto,
   customInspectSymbol: kInspect,
   kEmptyObject,
@@ -3395,7 +3396,7 @@ function connect(authority, options, listener) {
 // Support util.promisify
 ObjectDefineProperty(connect, promisify.custom, {
   __proto__: null,
-  value: (authority, options) => {
+  value: assignFunctionName('connect', function(authority, options) {
     return new Promise((resolve, reject) => {
       const server = connect(authority, options, () => {
         server.removeListener('error', reject);
@@ -3404,7 +3405,7 @@ ObjectDefineProperty(connect, promisify.custom, {
 
       server.once('error', reject);
     });
-  },
+  }),
 });
 
 function createSecureServer(options, handler) {
diff --git a/test/parallel/test-util-promisify-custom-names.mjs b/test/parallel/test-util-promisify-custom-names.mjs
index 79da972ae20..3540d20e262 100644
--- a/test/parallel/test-util-promisify-custom-names.mjs
+++ b/test/parallel/test-util-promisify-custom-names.mjs
@@ -1,4 +1,4 @@
-import '../common/index.mjs';
+import { hasCrypto } from '../common/index.mjs';
 import assert from 'node:assert';
 import { promisify } from 'node:util';
 
@@ -48,3 +48,11 @@ assert.strictEqual(
   promisify(child_process.execFile).name,
   'execFile'
 );
+
+if (hasCrypto) {
+  const http2 = await import('node:http2');
+  assert.strictEqual(
+    promisify(http2.connect).name,
+    'connect'
+  );
+}