diff --git a/Lib/test/test_asyncore.py b/Lib/test/test_asyncore.py
--- a/Lib/test/test_asyncore.py
+++ b/Lib/test/test_asyncore.py
@@ -598,6 +598,35 @@
         client = TestClient(server.address)
         self.loop_waiting_for_flag(client)
 
+    def test_handle_close_after_write(self):
+        # see issue 5661
+        # make sure handle_close is called when writing and the other end
+        # closes the connection
+
+        data = ' ' * 128
+
+        class TestClient(BaseClient):
+
+            def handle_write(self):
+                self.send(data)
+
+            def handle_close(self):
+                self.flag = True
+                self.close()
+
+        class TestHandler(BaseTestHandler):
+
+            def handle_read(self):
+                self.recv(len(data))
+                self.close()
+
+            def writable(self):
+                return False
+
+        server = TCPServer(TestHandler)
+        client = TestClient(server.address)
+        self.loop_waiting_for_flag(client)
+
     @unittest.skipIf(sys.platform.startswith("sunos"),
                      "OOB support is broken on Solaris")
     def test_handle_expt(self):