diff --git a/Lib/test/test_xmlrpc.py b/Lib/test/test_xmlrpc.py
--- a/Lib/test/test_xmlrpc.py
+++ b/Lib/test/test_xmlrpc.py
@@ -519,12 +519,7 @@
 
     def tearDown(self):
         # wait on the server thread to terminate
-        self.evt.wait(4.0)
-        # XXX this code does not work, and in fact stop_serving doesn't exist.
-        if not self.evt.is_set():
-            self.evt.set()
-            stop_serving()
-            raise RuntimeError("timeout reached, test has failed")
+        self.evt.wait()
 
         # disable traceback reporting
         xmlrpc.server.SimpleXMLRPCServer._send_traceback_header = False
@@ -671,6 +666,13 @@
         server = xmlrpclib.ServerProxy("http://%s:%d/RPC2" % (ADDR, PORT))
         self.assertEqual(server.add("a", "\xe9"), "a\xe9")
 
+    def test_partial_post(self):
+        # Check that a partial POST doesn't make the server loop: issue #14001.
+        conn = http.client.HTTPConnection(ADDR, PORT)
+        conn.request('POST', '/RPC2 HTTP/1.0\r\nContent-Length: 100\r\n\r\nbye')
+        conn.close()
+
+
 class MultiPathServerTestCase(BaseServerTestCase):
     threadFunc = staticmethod(http_multi_server)
     request_count = 2
diff --git a/Lib/xmlrpc/server.py b/Lib/xmlrpc/server.py
--- a/Lib/xmlrpc/server.py
+++ b/Lib/xmlrpc/server.py
@@ -476,7 +476,10 @@
             L = []
             while size_remaining:
                 chunk_size = min(size_remaining, max_chunk_size)
-                L.append(self.rfile.read(chunk_size))
+                chunk = self.rfile.read(chunk_size)
+                if not chunk:
+                    break
+                L.append(chunk)
                 size_remaining -= len(L[-1])
             data = b''.join(L)