diff --git a/Lib/test/test_external_inspection.py b/Lib/test/test_external_inspection.py
index 4e82f567e1f429..0fd704e698b90e 100644
--- a/Lib/test/test_external_inspection.py
+++ b/Lib/test/test_external_inspection.py
@@ -5,7 +5,7 @@
 import sys
 import socket
 from unittest.mock import ANY
-from test.support import os_helper, SHORT_TIMEOUT, busy_retry, requires_gil_enabled
+from test.support import os_helper, SHORT_TIMEOUT, busy_retry
 from test.support.script_helper import make_script
 from test.support.socket_helper import find_unused_port
 
@@ -406,7 +406,6 @@ async def main():
             self.assertEqual(stack_trace, expected_stack_trace)
 
     @skip_if_not_supported
-    @requires_gil_enabled("gh-133359: occasionally flaky on AMD64")
     @unittest.skipIf(sys.platform == "linux" and not PROCESS_VM_READV_SUPPORTED,
                      "Test only runs on Linux with process_vm_readv support")
     def test_async_global_awaited_by(self):
@@ -447,6 +446,8 @@ async def echo_client(message):
                 assert message == data.decode()
                 writer.close()
                 await writer.wait_closed()
+                # Signal we are ready to sleep
+                sock.sendall(b"ready")
                 await asyncio.sleep(SHORT_TIMEOUT)
 
             async def echo_client_spam(server):
@@ -456,8 +457,10 @@ async def echo_client_spam(server):
                         random.shuffle(msg)
                         tg.create_task(echo_client("".join(msg)))
                         await asyncio.sleep(0)
-                    # at least a 1000 tasks created
-                    sock.sendall(b"ready")
+                    # at least a 1000 tasks created. Each task will signal
+                    # when is ready to avoid the race caused by the fact that
+                    # tasks are waited on tg.__exit__ and we cannot signal when
+                    # that happens otherwise
                 # at this point all client tasks completed without assertion errors
                 # let's wrap up the test
                 server.close()
@@ -489,8 +492,10 @@ async def main():
                 p = subprocess.Popen([sys.executable, script_name])
                 client_socket, _ = server_socket.accept()
                 server_socket.close()
-                response = client_socket.recv(1024)
-                self.assertEqual(response, b"ready")
+                for _ in range(1000):
+                    expected_response = b"ready"
+                    response = client_socket.recv(len(expected_response))
+                    self.assertEqual(response, expected_response)
                 for _ in busy_retry(SHORT_TIMEOUT):
                     try:
                         all_awaited_by = get_all_awaited_by(p.pid)