diff --git a/test/zdtm.py b/test/zdtm.py
index bc14e3f73e..d9aaa5e956 100755
--- a/test/zdtm.py
+++ b/test/zdtm.py
@@ -507,8 +507,14 @@ def kill(self, sig=signal.SIGKILL):
         self.__freezer.thaw()
         if self.__pid:
             print("Send the %d signal to  %s" % (sig, self.__pid))
-            os.kill(int(self.__pid), sig)
-            self.gone(sig == signal.SIGKILL)
+            try:
+                os.kill(int(self.__pid), sig)
+            except ProcessLookupError:
+                # Prevent gone() calling waitpid().
+                self.auto_reap = True
+                self.gone(True)
+            else:
+                self.gone(sig == signal.SIGKILL)
 
         self.__flavor.fini()