diff --git a/Lib/test/test_multiprocessing.py b/Lib/test/test_multiprocessing.py
index fd22312..5d734ed 100644
--- a/Lib/test/test_multiprocessing.py
+++ b/Lib/test/test_multiprocessing.py
@@ -1590,6 +1590,7 @@
         p = self.Process(target=self._writefd, args=(child_conn, b"foo"))
         p.daemon = True
         p.start()
+        self.addCleanup(test.support.unlink, test.support.TESTFN)
         with open(test.support.TESTFN, "wb") as f:
             fd = f.fileno()
             if msvcrt:
@@ -1614,6 +1615,7 @@
         p = self.Process(target=self._writefd, args=(child_conn, b"bar", True))
         p.daemon = True
         p.start()
+        self.addCleanup(test.support.unlink, test.support.TESTFN)
         with open(test.support.TESTFN, "wb") as f:
             fd = f.fileno()
             for newfd in range(256, MAXFD):