diff --git a/Lib/asyncio/selector_events.py b/Lib/asyncio/selector_events.py
--- a/Lib/asyncio/selector_events.py
+++ b/Lib/asyncio/selector_events.py
@@ -565,6 +565,7 @@
         self._loop.remove_reader(self._sock_fd)
         if not self._buffer:
             self._conn_lost += 1
+            self._loop.remove_writer(self._sock_fd)
             self._loop.call_soon(self._call_connection_lost, None)
 
     # On Python 3.3 and older, objects with a destructor part of a reference
@@ -659,6 +660,8 @@
             logger.debug("%r resumes reading", self)
 
     def _read_ready(self):
+        if self._conn_lost:
+            return
         try:
             data = self._sock.recv(self.max_size)
         except (BlockingIOError, InterruptedError):
@@ -718,6 +721,8 @@
     def _write_ready(self):
         assert self._buffer, 'Data should not be empty'
 
+        if self._conn_lost:
+            return
         try:
             n = self._sock.send(self._buffer)
         except (BlockingIOError, InterruptedError):
@@ -888,6 +893,8 @@
             logger.debug("%r resumes reading", self)
 
     def _read_ready(self):
+        if self._conn_lost:
+            return
         if self._write_wants_read:
             self._write_wants_read = False
             self._write_ready()
@@ -920,6 +927,8 @@
                     self.close()
 
     def _write_ready(self):
+        if self._conn_lost:
+            return
         if self._read_wants_write:
             self._read_wants_write = False
             self._read_ready()
@@ -997,6 +1006,8 @@
         return sum(len(data) for data, _ in self._buffer)
 
     def _read_ready(self):
+        if self._conn_lost:
+            return
         try:
             data, addr = self._sock.recvfrom(self.max_size)
         except (BlockingIOError, InterruptedError):
diff --git a/Lib/test/test_asyncio/test_selector_events.py b/Lib/test/test_asyncio/test_selector_events.py
--- a/Lib/test/test_asyncio/test_selector_events.py
+++ b/Lib/test/test_asyncio/test_selector_events.py
@@ -1077,17 +1077,6 @@
                                    err,
                                    'Fatal write error on socket transport')
 
-    @mock.patch('asyncio.base_events.logger')
-    def test_write_ready_exception_and_close(self, m_log):
-        self.sock.send.side_effect = OSError()
-        remove_writer = self.loop.remove_writer = mock.Mock()
-
-        transport = self.socket_transport()
-        transport.close()
-        transport._buffer.extend(b'data')
-        transport._write_ready()
-        remove_writer.assert_called_with(self.sock_fd)
-
     def test_write_eof(self):
         tr = self.socket_transport()
         self.assertTrue(tr.can_write_eof())
@@ -1111,6 +1100,14 @@
         self.sock.shutdown.assert_called_with(socket.SHUT_WR)
         tr.close()
 
+    @mock.patch('asyncio.base_events.logger')
+    def test_transport_close_remove_writer(self, m_log):
+        remove_writer = self.loop.remove_writer = mock.Mock()
+
+        transport = self.socket_transport()
+        transport.close()
+        remove_writer.assert_called_with(self.sock_fd)
+
 
 @unittest.skipIf(ssl is None, 'No ssl module')
 class SelectorSslTransportTests(test_utils.TestCase):
@@ -1165,7 +1162,7 @@
         self.sslsock.do_handshake.side_effect = exc
         with test_utils.disable_logger():
             waiter = asyncio.Future(loop=self.loop)
-            transport = self.ssl_transport(waiter=waiter)
+            self.ssl_transport(waiter=waiter)
         self.assertTrue(waiter.done())
         self.assertIs(exc, waiter.exception())
         self.assertTrue(self.sslsock.close.called)
@@ -1364,20 +1361,19 @@
     def test_write_ready_send_closing(self):
         self.sslsock.send.return_value = 4
         transport = self._make_one()
+        transport._buffer = list_to_buffer([b'data'])
         transport.close()
-        transport._buffer = list_to_buffer([b'data'])
         transport._write_ready()
-        self.assertFalse(self.loop.writers)
         self.protocol.connection_lost.assert_called_with(None)
 
     def test_write_ready_send_closing_empty_buffer(self):
         self.sslsock.send.return_value = 4
+        call_soon = self.loop.call_soon = mock.Mock()
         transport = self._make_one()
+        transport._buffer = list_to_buffer()
         transport.close()
-        transport._buffer = list_to_buffer()
         transport._write_ready()
-        self.assertFalse(self.loop.writers)
-        self.protocol.connection_lost.assert_called_with(None)
+        call_soon.assert_called_with(transport._call_connection_lost, None)
 
     def test_write_ready_send_retry(self):
         transport = self._make_one()