diff --git a/Lib/test/test_subprocess.py b/Lib/test/test_subprocess.py
index d508b8fd13b..f2cdc333c9d 100644
--- a/Lib/test/test_subprocess.py
+++ b/Lib/test/test_subprocess.py
@@ -1370,8 +1370,18 @@ class POSIXProcessTestCase(BaseTestCase):
 
         self.addCleanup(p1.wait)
         self.addCleanup(p2.wait)
-        self.addCleanup(p1.terminate)
-        self.addCleanup(p2.terminate)
+        def kill_p1():
+            try:
+                p1.terminate()
+            except ProcessLookupError:
+                pass
+        def kill_p2():
+            try:
+                p2.terminate()
+            except ProcessLookupError:
+                pass
+        self.addCleanup(kill_p1)
+        self.addCleanup(kill_p2)
 
         p1.stdin.write(data)
         p1.stdin.close()