diff --git a/Lib/test/test_asyncio/test_proactor_events.py b/Lib/test/test_asyncio/test_proactor_events.py
index 7fd8b261cd5..ae30185cef7 100644
--- a/Lib/test/test_asyncio/test_proactor_events.py
+++ b/Lib/test/test_asyncio/test_proactor_events.py
@@ -297,6 +297,27 @@ class ProactorSocketTransportTests(test_utils.TestCase):
         # and waiters will never be notified leading to hang.
         self.assertTrue(self.protocol.connection_lost.called)
 
+    def test_force_close_protocol_connection_lost_once(self):
+        tr = self.socket_transport()
+        self.assertFalse(self.protocol.connection_lost.called)
+        tr._closing = True
+        # Calling _force_close twice should not call
+        # protocol.connection_lost twice
+        tr._force_close(None)
+        tr._force_close(None)
+        test_utils.run_briefly(self.loop)
+        self.assertEqual(1, self.protocol.connection_lost.call_count)
+
+    def test_close_protocol_connection_lost_once(self):
+        tr = self.socket_transport()
+        self.assertFalse(self.protocol.connection_lost.called)
+        # Calling close twice should not call
+        # protocol.connection_lost twice
+        tr.close()
+        tr.close()
+        test_utils.run_briefly(self.loop)
+        self.assertEqual(1, self.protocol.connection_lost.call_count)
+
     def test_fatal_error_2(self):
         tr = self.socket_transport()
         tr._buffer = [b'data']