diff --git a/.travis.yml b/.travis.yml
index 81a5d6fbb..91c34b665 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -65,6 +65,10 @@ matrix:
       env: TESTENV=shellcheck
       services: docker
   fast_finish: true
+  allow_failures:
+    # https://github.com/qutebrowser/qutebrowser/issues/4055
+    - os: linux
+      env: TESTENV=py36-pyqt510
 
 cache:
   directories: