diff --git a/src/ci/scripts/should-skip-this.sh b/src/ci/scripts/should-skip-this.sh
index bb48fcb5a21..c046a6c8a26 100755
--- a/src/ci/scripts/should-skip-this.sh
+++ b/src/ci/scripts/should-skip-this.sh
@@ -25,6 +25,7 @@ if [[ -n "${CI_ONLY_WHEN_SUBMODULES_CHANGED-}" ]]; then
     elif ! (git diff --quiet "$BASE_COMMIT" -- \
              src/test/rustdoc-gui \
              src/librustdoc \
+             src/ci/docker/host-x86_64/x86_64-gnu-tools/Dockerfile \
              src/tools/rustdoc-gui); then
         # There was a change in either rustdoc or in its GUI tests.
         echo "Rustdoc was updated"