diff --git a/t/t6600-test-reach.sh b/t/t6600-test-reach.sh
index d139a00d1d..9d65b8b946 100755
--- a/t/t6600-test-reach.sh
+++ b/t/t6600-test-reach.sh
@@ -53,18 +53,22 @@ test_expect_success 'setup' '
 	git config core.commitGraph true
 '
 
-test_three_modes () {
+run_three_modes () {
 	test_when_finished rm -rf .git/objects/info/commit-graph &&
-	test-tool reach $1 <input >actual &&
+	"$@" <input >actual &&
 	test_cmp expect actual &&
 	cp commit-graph-full .git/objects/info/commit-graph &&
-	test-tool reach $1 <input >actual &&
+	"$@" <input >actual &&
 	test_cmp expect actual &&
 	cp commit-graph-half .git/objects/info/commit-graph &&
-	test-tool reach $1 <input >actual &&
+	"$@" <input >actual &&
 	test_cmp expect actual
 }
 
+test_three_modes () {
+	run_three_modes test-tool reach "$@"
+}
+
 test_expect_success 'ref_newer:miss' '
 	cat >input <<-\EOF &&
 	A:commit-5-7