diff --git a/git-rebase.sh b/git-rebase.sh
index d0c11a910a6..2d5c2bd0fcf 100755
--- a/git-rebase.sh
+++ b/git-rebase.sh
@@ -84,6 +84,8 @@ keep_empty=
 test "$(git config --bool rebase.autosquash)" = "true" && autosquash=t
 
 read_basic_state () {
+	test -f "$state_dir/head-name" &&
+	test -f "$state_dir/onto" &&
 	head_name=$(cat "$state_dir"/head-name) &&
 	onto=$(cat "$state_dir"/onto) &&
 	# We always write to orig-head, but interactive rebase used to write to
@@ -545,6 +547,7 @@ then
 		# Lazily switch to the target branch if needed...
 		test -z "$switch_to" || git checkout "$switch_to" --
 		say "$(eval_gettext "Current branch \$branch_name is up to date.")"
+		finish_rebase
 		exit 0
 	else
 		say "$(eval_gettext "Current branch \$branch_name is up to date, rebase forced.")"
@@ -577,6 +580,7 @@ if test "$mb" = "$orig_head"
 then
 	say "$(eval_gettext "Fast-forwarded \$branch_name to \$onto_name.")"
 	move_to_original_branch
+	finish_rebase
 	exit 0
 fi
 
diff --git a/t/t3420-rebase-autostash.sh b/t/t3420-rebase-autostash.sh
index 479cbb215fc..90eb26493cd 100755
--- a/t/t3420-rebase-autostash.sh
+++ b/t/t3420-rebase-autostash.sh
@@ -141,6 +141,28 @@ testrebase() {
 	'
 }
 
+test_expect_success "rebase: fast-forward rebase" '
+	test_config rebase.autostash true &&
+	git reset --hard &&
+	git checkout -b behind-feature-branch feature-branch~1 &&
+	test_when_finished git branch -D behind-feature-branch &&
+	echo dirty >>file1 &&
+	git rebase feature-branch &&
+	grep dirty file1 &&
+	git checkout feature-branch
+'
+
+test_expect_success "rebase: noop rebase" '
+	test_config rebase.autostash true &&
+	git reset --hard &&
+	git checkout -b same-feature-branch feature-branch &&
+	test_when_finished git branch -D same-feature-branch &&
+	echo dirty >>file1 &&
+	git rebase feature-branch &&
+	grep dirty file1 &&
+	git checkout feature-branch
+'
+
 testrebase "" .git/rebase-apply
 testrebase " --merge" .git/rebase-merge
 testrebase " --interactive" .git/rebase-merge