diff --git a/Lib/asyncio/proactor_events.py b/Lib/asyncio/proactor_events.py
index 4670bd683ab..45c11ee4b48 100644
--- a/Lib/asyncio/proactor_events.py
+++ b/Lib/asyncio/proactor_events.py
@@ -793,8 +793,17 @@ class BaseProactorEventLoop(base_events.BaseEventLoop):
             f.add_done_callback(self._loop_self_reading)
 
     def _write_to_self(self):
+        # This may be called from a different thread, possibly after
+        # _close_self_pipe() has been called or even while it is
+        # running.  Guard for self._csock being None or closed.  When
+        # a socket is closed, send() raises OSError (with errno set to
+        # EBADF, but let's not rely on the exact error code).
+        csock = self._csock
+        if csock is None:
+            return
+
         try:
-            self._csock.send(b'\0')
+            csock.send(b'\0')
         except OSError:
             if self._debug:
                 logger.debug("Fail to write a null byte into the "
diff --git a/Lib/asyncio/selector_events.py b/Lib/asyncio/selector_events.py
index 8495a7901cd..59cb6b1babe 100644
--- a/Lib/asyncio/selector_events.py
+++ b/Lib/asyncio/selector_events.py
@@ -133,14 +133,16 @@ class BaseSelectorEventLoop(base_events.BaseEventLoop):
         # a socket is closed, send() raises OSError (with errno set to
         # EBADF, but let's not rely on the exact error code).
         csock = self._csock
-        if csock is not None:
-            try:
-                csock.send(b'\0')
-            except OSError:
-                if self._debug:
-                    logger.debug("Fail to write a null byte into the "
-                                 "self-pipe socket",
-                                 exc_info=True)
+        if csock is None:
+            return
+
+        try:
+            csock.send(b'\0')
+        except OSError:
+            if self._debug:
+                logger.debug("Fail to write a null byte into the "
+                             "self-pipe socket",
+                             exc_info=True)
 
     def _start_serving(self, protocol_factory, sock,
                        sslcontext=None, server=None, backlog=100,
diff --git a/Misc/NEWS.d/next/Library/2020-09-11-12-38-55.bpo-39651.JMp9l2.rst b/Misc/NEWS.d/next/Library/2020-09-11-12-38-55.bpo-39651.JMp9l2.rst
new file mode 100644
index 00000000000..78dcff13700
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-09-11-12-38-55.bpo-39651.JMp9l2.rst
@@ -0,0 +1,3 @@
+Fix a race condition in the ``call_soon_threadsafe()`` method of
+``asyncio.ProactorEventLoop``: do nothing if the self-pipe socket has been
+closed.