diff --git a/lib/internal/http2/core.js b/lib/internal/http2/core.js
index 554221ac614636..5dadaaaf5eb5f2 100644
--- a/lib/internal/http2/core.js
+++ b/lib/internal/http2/core.js
@@ -3369,7 +3369,7 @@ function connect(authority, options, listener) {
 // Support util.promisify
 ObjectDefineProperty(connect, promisify.custom, {
   __proto__: null,
-  value: (authority, options) => {
+  value: function connect(authority, options) { // eslint-disable-line func-name-matching
     return new Promise((resolve, reject) => {
       const server = connect(authority, options, () => {
         server.removeListener('error', reject);
diff --git a/test/parallel/test-util-promisify-custom-names.mjs b/test/parallel/test-util-promisify-custom-names.mjs
index 3ff05d907b5060..20a675cbb8f1b6 100644
--- a/test/parallel/test-util-promisify-custom-names.mjs
+++ b/test/parallel/test-util-promisify-custom-names.mjs
@@ -9,6 +9,7 @@ import fs from 'node:fs';
 import readline from 'node:readline';
 import stream from 'node:stream';
 import timers from 'node:timers';
+import http2 from 'node:http2';
 
 
 assert.strictEqual(
@@ -38,3 +39,8 @@ assert.strictEqual(
   promisify(timers.setTimeout).name,
   'setTimeout'
 );
+
+assert.strictEqual(
+  promisify(http2.connect).name,
+  'connect'
+);