diff --git a/Lib/asyncio/unix_events.py b/Lib/asyncio/unix_events.py
index 14b4843..9f4005c 100644
--- a/Lib/asyncio/unix_events.py
+++ b/Lib/asyncio/unix_events.py
@@ -516,7 +516,7 @@
             self._loop.call_soon(self._call_connection_lost, None)
 
     def close(self):
-        if not self._closing:
+        if self._pipe is not None and not self._closing:
             # write_eof is all what we needed to close the write pipe
             self.write_eof()
 
diff --git a/Lib/test/test_asyncio/test_unix_events.py b/Lib/test/test_asyncio/test_unix_events.py
index 5f4b024..4a68ce3 100644
--- a/Lib/test/test_asyncio/test_unix_events.py
+++ b/Lib/test/test_asyncio/test_unix_events.py
@@ -766,6 +766,9 @@
         tr.close()
         tr.write_eof.assert_called_with()
 
+        # closing the transport twice must not fail
+        tr.close()
+
     def test_close_closing(self):
         tr = unix_events._UnixWritePipeTransport(
             self.loop, self.pipe, self.protocol)