diff --git a/.github/workflows/cupertino.yml b/.github/workflows/cupertino.yml
index 73f070b5fe..e2d92d12d5 100644
--- a/.github/workflows/cupertino.yml
+++ b/.github/workflows/cupertino.yml
@@ -9,11 +9,13 @@ on:
       - '.github/workflows/cupertino.yml'
       - 'pkgs/cupertino_http/**'
       - 'pkgs/http_client_conformance_tests/**'
+      - 'pkgs/web_socket_conformance_tests/**'
   pull_request:
     paths:
       - '.github/workflows/cupertino.yml'
       - 'pkgs/cupertino_http/**'
       - 'pkgs/http_client_conformance_tests/**'
+      - 'pkgs/web_socket_conformance_tests/**'
   schedule:
     - cron: "0 0 * * 0"
 
diff --git a/pkgs/web_socket_conformance_tests/lib/src/peer_protocol_errors_server.dart b/pkgs/web_socket_conformance_tests/lib/src/peer_protocol_errors_server.dart
index 8760bb9a38..a40fc1fc54 100644
--- a/pkgs/web_socket_conformance_tests/lib/src/peer_protocol_errors_server.dart
+++ b/pkgs/web_socket_conformance_tests/lib/src/peer_protocol_errors_server.dart
@@ -14,8 +14,9 @@ const _webSocketGuid = '258EAFA5-E914-47DA-95CA-C5AB0DC85B11';
 /// WebSocket upgrade.
 void hybridMain(StreamChannel<Object?> channel) async {
   late final HttpServer server;
-  server = (await HttpServer.bind('localhost', 0))
-    ..listen((request) async {
+  server = await HttpServer.bind('localhost', 0);
+  runZonedGuarded(() {
+    server.listen((request) async {
       var key = request.headers.value('Sec-WebSocket-Key');
       var digest = sha1.convert('$key$_webSocketGuid'.codeUnits);
       var accept = base64.encode(digest.bytes);
@@ -28,7 +29,14 @@ void hybridMain(StreamChannel<Object?> channel) async {
       final socket = await request.response.detachSocket();
       socket.write('marry had a little lamb whose fleece was white as snow');
     });
-
+  }, (e, s) {
+    // dart:io sometimes asynchronously throws a `SocketException` with
+    // `errorCode` 54.
+    // See https://github.com/dart-lang/http/pull/1786 for a full traceback.
+    if (e is! SocketException || e.osError?.errorCode != 54) {
+      throw e as Exception;
+    }
+  });
   channel.sink.add(server.port);
 
   await channel