diff --git a/test/test-execute/exec-systemcallfilter-failing.service b/test/test-execute/exec-systemcallfilter-failing.service
index bcebc99507..996f859217 100644
--- a/test/test-execute/exec-systemcallfilter-failing.service
+++ b/test/test-execute/exec-systemcallfilter-failing.service
@@ -4,6 +4,7 @@ Description=Test for SystemCallFilter
 [Service]
 ExecStart=/bin/sh -c 'echo "This should not be seen"'
 Type=oneshot
+LimitCORE=0
 SystemCallFilter=ioperm
 SystemCallFilter=~ioperm
 SystemCallFilter=ioperm
diff --git a/test/test-execute/exec-systemcallfilter-failing2.service b/test/test-execute/exec-systemcallfilter-failing2.service
index 2fdc0ed772..c74f42248b 100644
--- a/test/test-execute/exec-systemcallfilter-failing2.service
+++ b/test/test-execute/exec-systemcallfilter-failing2.service
@@ -4,4 +4,5 @@ Description=Test for SystemCallFilter
 [Service]
 ExecStart=/bin/sh -c 'echo "This should not be seen"'
 Type=oneshot
+LimitCORE=0
 SystemCallFilter=~write open execve exit_group close mmap munmap fstat DONOTEXIST