diff --git a/src/tests/meson.build b/src/tests/meson.build
index 64cb3046e..7e97119df 100644
--- a/src/tests/meson.build
+++ b/src/tests/meson.build
@@ -697,6 +697,8 @@ stacking_tests = [
   'click-to-focus-and-raise',
   'workspace-only-on-primary-focus',
   'overview-focus',
+  'suspend-state-timeout',
+  'cloned-windows',
 ]
 
 foreach stacking_test: stacking_tests
diff --git a/src/tests/stacking/cloned-windows.metatest b/src/tests/stacking/cloned-windows.metatest
new file mode 100644
index 000000000..01e533ad1
--- /dev/null
+++ b/src/tests/stacking/cloned-windows.metatest
@@ -0,0 +1,12 @@
+new_client 1 wayland
+
+create 1/1
+show 1/1
+wait
+clone 1/1
+minimize 1/1
+wait
+hide 1/1
+wait_for_effects 1/1
+declone 1/1
+wait
diff --git a/src/tests/stacking/suspend-state-timeout.metatest b/src/tests/stacking/suspend-state-timeout.metatest
new file mode 100644
index 000000000..316b7f6e1
--- /dev/null
+++ b/src/tests/stacking/suspend-state-timeout.metatest
@@ -0,0 +1,10 @@
+new_client 1 wayland
+
+create 1/1
+show 1/1
+wait
+hide 1/1
+
+wait_for_effects 1/1
+sleep suspend_timeout
+sleep 1000