diff --git a/Lib/concurrent/futures/process.py b/Lib/concurrent/futures/process.py
index fd9f572..d773228 100644
--- a/Lib/concurrent/futures/process.py
+++ b/Lib/concurrent/futures/process.py
@@ -80,18 +80,23 @@
 
 class _ThreadWakeup:
     def __init__(self):
+        self._closed = False
         self._reader, self._writer = mp.Pipe(duplex=False)
 
     def close(self):
-        self._writer.close()
-        self._reader.close()
+        if not self._closed:
+            self._closed = True
+            self._writer.close()
+            self._reader.close()
 
     def wakeup(self):
-        self._writer.send_bytes(b"")
+        if not self._closed:
+            self._writer.send_bytes(b"")
 
     def clear(self):
-        while self._reader.poll():
-            self._reader.recv_bytes()
+        if not self._closed:
+            while self._reader.poll():
+                self._reader.recv_bytes()
 
 
 def _python_exit():
@@ -160,8 +165,9 @@
 
 class _SafeQueue(Queue):
     """Safe Queue set exception to the future object linked to a job"""
-    def __init__(self, max_size=0, *, ctx, pending_work_items):
+    def __init__(self, max_size=0, *, ctx, pending_work_items, thread_wakeup):
         self.pending_work_items = pending_work_items
+        self.thread_wakeup = thread_wakeup
         super().__init__(max_size, ctx=ctx)
 
     def _on_queue_feeder_error(self, e, obj):
@@ -169,6 +175,7 @@
             tb = traceback.format_exception(type(e), e, e.__traceback__)
             e.__cause__ = _RemoteTraceback('\n"""\n{}"""'.format(''.join(tb)))
             work_item = self.pending_work_items.pop(obj.work_id, None)
+            self.thread_wakeup.wakeup()
             # work_item can be None if another process terminated. In this case,
             # the queue_manager_thread fails all work_items with BrokenProcessPool
             if work_item is not None:
@@ -339,6 +346,8 @@
 
         # Release the queue's resources as soon as possible.
         call_queue.close()
+        call_queue.join_thread()
+        thread_wakeup.close()
         # If .join() is not called on the created processes then
         # some ctx.Queue methods may deadlock on Mac OS X.
         for p in processes.values():
@@ -566,21 +575,6 @@
         self._pending_work_items = {}
         self._cancel_pending_futures = False
 
-        # Create communication channels for the executor
-        # Make the call queue slightly larger than the number of processes to
-        # prevent the worker processes from idling. But don't make it too big
-        # because futures in the call queue cannot be cancelled.
-        queue_size = self._max_workers + EXTRA_QUEUED_CALLS
-        self._call_queue = _SafeQueue(
-            max_size=queue_size, ctx=self._mp_context,
-            pending_work_items=self._pending_work_items)
-        # Killed worker processes can produce spurious "broken pipe"
-        # tracebacks in the queue's own worker thread. But we detect killed
-        # processes anyway, so silence the tracebacks.
-        self._call_queue._ignore_epipe = True
-        self._result_queue = mp_context.SimpleQueue()
-        self._work_ids = queue.Queue()
-
         # _ThreadWakeup is a communication channel used to interrupt the wait
         # of the main loop of queue_manager_thread from another thread (e.g.
         # when calling executor.submit or executor.shutdown). We do not use the
@@ -589,6 +583,22 @@
         # _result_queue write lock still acquired.
         self._queue_management_thread_wakeup = _ThreadWakeup()
 
+        # Create communication channels for the executor
+        # Make the call queue slightly larger than the number of processes to
+        # prevent the worker processes from idling. But don't make it too big
+        # because futures in the call queue cannot be cancelled.
+        queue_size = self._max_workers + EXTRA_QUEUED_CALLS
+        self._call_queue = _SafeQueue(
+            max_size=queue_size, ctx=self._mp_context,
+            pending_work_items=self._pending_work_items,
+            thread_wakeup=self._queue_management_thread_wakeup)
+        # Killed worker processes can produce spurious "broken pipe"
+        # tracebacks in the queue's own worker thread. But we detect killed
+        # processes anyway, so silence the tracebacks.
+        self._call_queue._ignore_epipe = True
+        self._result_queue = mp_context.SimpleQueue()
+        self._work_ids = queue.Queue()
+
     def _start_queue_management_thread(self):
         if self._queue_management_thread is None:
             # When the executor gets garbarge collected, the weakref callback
@@ -692,16 +702,11 @@
         # To reduce the risk of opening too many files, remove references to
         # objects that use file descriptors.
         self._queue_management_thread = None
-        if self._call_queue is not None:
-            self._call_queue.close()
-            if wait:
-                self._call_queue.join_thread()
-            self._call_queue = None
+        self._call_queue = None
         self._result_queue = None
         self._processes = None
 
         if self._queue_management_thread_wakeup:
-            self._queue_management_thread_wakeup.close()
             self._queue_management_thread_wakeup = None
 
     shutdown.__doc__ = _base.Executor.shutdown.__doc__
diff --git a/Lib/test/test_concurrent_futures.py b/Lib/test/test_concurrent_futures.py
index af77f81..a7381f9 100644
--- a/Lib/test/test_concurrent_futures.py
+++ b/Lib/test/test_concurrent_futures.py
@@ -415,13 +415,32 @@
 
     def test_del_shutdown(self):
         executor = futures.ThreadPoolExecutor(max_workers=5)
-        executor.map(abs, range(-5, 5))
+        res = executor.map(abs, range(-5, 5))
         threads = executor._threads
         del executor
 
         for t in threads:
             t.join()
 
+        # Make sure the results were all computed before the
+        # executor got shutdown.
+        assert all([r == abs(v) for r, v in zip(res, range(-5, 5))])
+
+    def test_shutdown_no_wait(self):
+        # Ensure that the executor cleans up the threads when calling
+        # shutdown with wait=False
+        executor = futures.ThreadPoolExecutor(max_workers=5)
+        res = executor.map(abs, range(-5, 5))
+        threads = executor._threads
+        executor.shutdown(wait=False)
+        for t in threads:
+            t.join()
+
+        # Make sure the results were all computed before the
+        # executor got shutdown.
+        assert all([r == abs(v) for r, v in zip(res, range(-5, 5))])
+
+
     def test_thread_names_assigned(self):
         executor = futures.ThreadPoolExecutor(
             max_workers=5, thread_name_prefix='SpecialPool')
@@ -488,7 +507,7 @@
 
     def test_del_shutdown(self):
         executor = futures.ProcessPoolExecutor(max_workers=5)
-        list(executor.map(abs, range(-5, 5)))
+        res = executor.map(abs, range(-5, 5))
         queue_management_thread = executor._queue_management_thread
         processes = executor._processes
         call_queue = executor._call_queue
@@ -502,6 +521,31 @@
             p.join()
         call_queue.join_thread()
 
+        # Make sure the results were all computed before the
+        # executor got shutdown.
+        assert all([r == abs(v) for r, v in zip(res, range(-5, 5))])
+
+    def test_shutdown_no_wait(self):
+        # Ensure that the executor cleans up the processes when calling
+        # shutdown with wait=False
+        executor = futures.ProcessPoolExecutor(max_workers=5)
+        res = executor.map(abs, range(-5, 5))
+        processes = executor._processes
+        call_queue = executor._call_queue
+        queue_management_thread = executor._queue_management_thread
+        executor.shutdown(wait=False)
+
+        # Make sure that all the executor resources were properly cleaned by
+        # the shutdown process
+        queue_management_thread.join()
+        for p in processes.values():
+            p.join()
+        call_queue.join_thread()
+
+        # Make sure the results were all computed before the executor got
+        # shutdown.
+        assert all([r == abs(v) for r, v in zip(res, range(-5, 5))])
+
 
 create_executor_tests(ProcessPoolShutdownTest,
                       executor_mixins=(ProcessPoolForkMixin,
@@ -1086,6 +1130,32 @@
             with self.assertRaises(BrokenProcessPool):
                 f.result()
 
+    def test_shutdown_deadlock_pickle(self):
+        # Test that the pool calling shutdown with wait=False does not cause
+        # a deadlock if a task fails at pickle after the shutdown call.
+        # Reported in bpo-39104.
+        self.executor.shutdown(wait=True)
+        with self.executor_type(max_workers=2,
+                                mp_context=get_context(self.ctx)) as executor:
+            self.executor = executor  # Allow clean up in fail_on_deadlock
+
+            # Start the executor and get the queue_management_thread to collect
+            # the threads and avoid dangling thread that should be cleaned up
+            # asynchronously.
+            executor.submit(id, 42).result()
+            queue_manager = executor._queue_management_thread
+
+            # Submit a task that fails at pickle and shutdown the executor
+            # without waiting
+            f = executor.submit(id, ErrorAtPickle())
+            executor.shutdown(wait=False)
+            with self.assertRaises(PicklingError):
+                f.result()
+
+        # Make sure the executor is eventually shutdown and do not leave
+        # dangling threads
+        queue_manager.join()
+
 
 create_executor_tests(ExecutorDeadlockTest,
                       executor_mixins=(ProcessPoolForkMixin,
diff --git a/Misc/NEWS.d/next/Library/2020-02-16-18-49-16.bpo-39104.cI5MJY.rst b/Misc/NEWS.d/next/Library/2020-02-16-18-49-16.bpo-39104.cI5MJY.rst
new file mode 100644
index 0000000..52779bf
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-02-16-18-49-16.bpo-39104.cI5MJY.rst
@@ -0,0 +1,2 @@
+Fix hanging ProcessPoolExcutor on ``shutdown(wait=False)`` when a task has
+failed pickling.