diff --git a/testing/marionette/harness/marionette_harness/tests/unit/unit-tests.ini b/testing/marionette/harness/marionette_harness/tests/unit/unit-tests.ini
index 3aa10486b108a6fb15dbf6eff76de5b72c649f4e..2ec015aa16ebf048b60c20aef0746af1993b7ce7 100644
--- a/testing/marionette/harness/marionette_harness/tests/unit/unit-tests.ini
+++ b/testing/marionette/harness/marionette_harness/tests/unit/unit-tests.ini
@@ -4,6 +4,7 @@
 [test_session.py]
 [test_capabilities.py]
 [test_accessibility.py]
+skip-if = headless # Bug 1294075 and 1341493
 [test_expectedfail.py]
 expected = fail
 [test_click.py]