diff --git a/Source/kwsys/ProcessUNIX.c b/Source/kwsys/ProcessUNIX.c
index faeb967..241e295 100644
--- a/Source/kwsys/ProcessUNIX.c
+++ b/Source/kwsys/ProcessUNIX.c
@@ -2413,6 +2413,12 @@
   /* Suspend the process to be sure it will not create more children.  */
   kill(process_id, SIGSTOP);
 
+#if defined(__CYGWIN__)
+  /* Some Cygwin versions seem to need help here.  Give up our time slice
+     so that the child can process SIGSTOP before we send SIGKILL.  */
+  usleep(1);
+#endif
+
   /* Kill all children if we can find them.  */
 #if defined(__linux__) || defined(__CYGWIN__)
   /* First try using the /proc filesystem.  */