diff --git a/Lib/subprocess.py b/Lib/subprocess.py
index f0ef30e..6cc3fa1 100644
--- a/Lib/subprocess.py
+++ b/Lib/subprocess.py
@@ -1016,7 +1016,17 @@
         def terminate(self):
             """Terminates the process
             """
-            _subprocess.TerminateProcess(self._handle, 1)
+            try:
+                _subprocess.TerminateProcess(self._handle, 1)
+            except OSError as e:
+                # ERROR_ACCESS_DENIED (winerror 5) is received when the
+                # process already died.
+                if e.winerror != 5:
+                    raise
+                rc = _subprocess.GetExitCodeProcess(self._handle)
+                if rc == _subprocess.STILL_ACTIVE:
+                    raise
+                self.returncode = rc
 
         kill = terminate