diff --git a/Lib/test/test_docxmlrpc.py b/Lib/test/test_docxmlrpc.py
index 15a4ae2dc61..00903337c07 100644
--- a/Lib/test/test_docxmlrpc.py
+++ b/Lib/test/test_docxmlrpc.py
@@ -3,12 +3,8 @@ import http.client
 import sys
 from test import support
 threading = support.import_module('threading')
-import time
-import socket
 import unittest
 
-PORT = None
-
 def make_request_and_skipIf(condition, reason):
     # If we skip the test, we have to make a request because
     # the server created in setUp blocks expecting one to come in.
@@ -23,13 +19,10 @@ def make_request_and_skipIf(condition, reason):
     return decorator
 
 
-def server(evt, numrequests):
+def make_server():
     serv = DocXMLRPCServer(("localhost", 0), logRequests=False)
 
     try:
-        global PORT
-        PORT = serv.socket.getsockname()[1]
-
         # Add some documentation
         serv.set_server_title("DocXMLRPCServer Test Documentation")
         serv.set_server_name("DocXMLRPCServer Test Docs")
@@ -66,43 +59,31 @@ def server(evt, numrequests):
         serv.register_function(lambda x, y: x-y)
         serv.register_function(annotation)
         serv.register_instance(ClassWithAnnotation())
-
-        while numrequests > 0:
-            serv.handle_request()
-            numrequests -= 1
-    except socket.timeout:
-        pass
-    finally:
+        return serv
+    except:
         serv.server_close()
-        PORT = None
-        evt.set()
+        raise
 
 class DocXMLRPCHTTPGETServer(unittest.TestCase):
     def setUp(self):
-        self._threads = support.threading_setup()
         # Enable server feedback
         DocXMLRPCServer._send_traceback_header = True
 
-        self.evt = threading.Event()
-        threading.Thread(target=server, args=(self.evt, 1)).start()
-
-        # wait for port to be assigned
-        deadline = time.monotonic() + 10.0
-        while PORT is None:
-            time.sleep(0.010)
-            if time.monotonic() > deadline:
-                break
+        self.serv = make_server()
+        self.thread = threading.Thread(target=self.serv.serve_forever)
+        self.thread.start()
 
+        PORT = self.serv.server_address[1]
         self.client = http.client.HTTPConnection("localhost:%d" % PORT)
 
     def tearDown(self):
         self.client.close()
 
-        self.evt.wait()
-
         # Disable server feedback
         DocXMLRPCServer._send_traceback_header = False
-        support.threading_cleanup(*self._threads)
+        self.serv.shutdown()
+        self.thread.join()
+        self.serv.server_close()
 
     def test_valid_get_response(self):
         self.client.request("GET", "/")