diff --git a/remote.c b/remote.c
index ca42a126ad..f073b1ecf5 100644
--- a/remote.c
+++ b/remote.c
@@ -1667,7 +1667,9 @@ struct ref *guess_remote_head(const struct ref *head,
 
 	/* Look for another ref that points there */
 	for (r = refs; r; r = r->next) {
-		if (r != head && !hashcmp(r->old_sha1, head->old_sha1)) {
+		if (r != head &&
+		    !prefixcmp(r->name, "refs/heads/") &&
+		    !hashcmp(r->old_sha1, head->old_sha1)) {
 			*tail = copy_ref(r);
 			tail = &((*tail)->next);
 			if (!all)
diff --git a/t/t5707-clone-detached.sh b/t/t5707-clone-detached.sh
index 6cecd4cd3c..d63b1e390e 100755
--- a/t/t5707-clone-detached.sh
+++ b/t/t5707-clone-detached.sh
@@ -41,7 +41,7 @@ test_expect_success 'cloned HEAD matches' '
 	git --git-dir=detached-tag/.git log -1 --format=%s >actual &&
 	test_cmp expect actual
 '
-test_expect_failure 'cloned HEAD is detached' '
+test_expect_success 'cloned HEAD is detached' '
 	head_is_detached detached-tag
 '