diff --git a/corecheck/tests/sigkill.c b/corecheck/tests/sigkill.c
index 1544f1ace..4fefed377 100644
--- a/corecheck/tests/sigkill.c
+++ b/corecheck/tests/sigkill.c
@@ -19,6 +19,12 @@ main (void)
   int i;
   int rc;
   for (i = 1; i <= 65; i++) {
+     // skip signals 32 and 33: some systems say "warning, ignored attempt
+     // to catch 32 because it's used internally by Valgrind", others say
+     // "invalid argument".
+     if (i == 32 || i == 33) {
+        continue;       
+     }                  // different systems
      sa.sa_flags   = 0;
      sigemptyset( &sa.sa_mask );
      sa.sa_handler = abend;
diff --git a/corecheck/tests/sigkill.stderr.exp b/corecheck/tests/sigkill.stderr.exp
index aef28c16e..839d09bdb 100644
--- a/corecheck/tests/sigkill.stderr.exp
+++ b/corecheck/tests/sigkill.stderr.exp
@@ -96,16 +96,6 @@ getting signal 30: Success
 setting signal 31: Success
 getting signal 31: Success
 
-setting signal 32: Warning: ignored attempt to set SIGRT32 handler in sigaction();
-         the SIGRT32 signal is used internally by Valgrind
-Invalid argument
-getting signal 32: Success
-
-setting signal 33: Warning: ignored attempt to set SIGRT33 handler in sigaction();
-         the SIGRT33 signal is used internally by Valgrind
-Invalid argument
-getting signal 33: Success
-
 setting signal 34: Success
 getting signal 34: Success