diff --git a/t/t3420-rebase-autostash.sh b/t/t3420-rebase-autostash.sh
index f355c6825a..d4e2520bcb 100755
--- a/t/t3420-rebase-autostash.sh
+++ b/t/t3420-rebase-autostash.sh
@@ -361,4 +361,12 @@ test_expect_success 'autostash with dirty submodules' '
 	git rebase -i --autostash HEAD
 '
 
+test_expect_failure 'branch is left alone when possible' '
+	git checkout -b unchanged-branch &&
+	echo changed >file0 &&
+	git rebase --autostash unchanged-branch &&
+	test changed = "$(cat file0)" &&
+	test unchanged-branch = "$(git rev-parse --abbrev-ref HEAD)"
+'
+
 test_done