diff --git a/tests/hardening/1.5.1_restrict_core_dumps.sh b/tests/hardening/1.5.1_restrict_core_dumps.sh
index b333419..180f73f 100644
--- a/tests/hardening/1.5.1_restrict_core_dumps.sh
+++ b/tests/hardening/1.5.1_restrict_core_dumps.sh
@@ -1,5 +1,8 @@
 # run-shellcheck
 test_audit() {
+    if [ -f "/.dockerenv" ]; then
+        skip "SKIPPED on docker"
+    else
     describe Running on blank host
     register_test retvalshouldbe 0
     dismiss_count_for_test
@@ -7,4 +10,5 @@ test_audit() {
     run blank /opt/debian-cis/bin/hardening/"${script}".sh --audit-all
 
     # TODO fill comprehensive tests
+    fi
 }
diff --git a/tests/hardening/1.5.2_enable_nx_support.sh b/tests/hardening/1.5.2_enable_nx_support.sh
index b333419..b0ebe2a 100644
--- a/tests/hardening/1.5.2_enable_nx_support.sh
+++ b/tests/hardening/1.5.2_enable_nx_support.sh
@@ -1,10 +1,14 @@
 # run-shellcheck
 test_audit() {
-    describe Running on blank host
-    register_test retvalshouldbe 0
-    dismiss_count_for_test
-    # shellcheck disable=2154
-    run blank /opt/debian-cis/bin/hardening/"${script}".sh --audit-all
+    if [ -f "/.dockerenv" ]; then
+        skip "SKIPPED on docker"
+    else
+        describe Running on blank host
+        register_test retvalshouldbe 0
+        dismiss_count_for_test
+        # shellcheck disable=2154
+        run blank /opt/debian-cis/bin/hardening/"${script}".sh --audit-all
 
-    # TODO fill comprehensive tests
+        # TODO fill comprehensive tests
+    fi
 }