diff --git a/test/cases/040_packages/003_containerd/test.sh b/test/cases/040_packages/003_containerd/test.sh
index f985b764f..f4cc59272 100644
--- a/test/cases/040_packages/003_containerd/test.sh
+++ b/test/cases/040_packages/003_containerd/test.sh
@@ -10,7 +10,7 @@ set -e
 . "${RT_PROJECT_ROOT}/_lib/lib.sh"
 
 clean_up() {
-	find . -iname "test-containerd*" -not -iname "*.yml" -exec rm -rf {} \;
+	find . -depth -iname "test-containerd*" -not -iname "*.yml" -exec rm -rf {} \;
 }
 trap clean_up EXIT
 
diff --git a/test/cases/040_packages/007_getty-containerd/test.sh b/test/cases/040_packages/007_getty-containerd/test.sh
index adb317820..2e9b420cb 100755
--- a/test/cases/040_packages/007_getty-containerd/test.sh
+++ b/test/cases/040_packages/007_getty-containerd/test.sh
@@ -12,7 +12,7 @@ set -e
 NAME=test-ctr
 
 clean_up() {
-	find . -iname "test-ctr*" -not -iname "*.yml" -exec rm -rf {} \;
+	find . -depth -iname "test-ctr*" -not -iname "*.yml" -exec rm -rf {} \;
 }
 trap clean_up EXIT