diff --git a/builtin/fsck.c b/builtin/fsck.c
index 5132ff0f15..3f6056535f 100644
--- a/builtin/fsck.c
+++ b/builtin/fsck.c
@@ -1047,7 +1047,8 @@ int cmd_fsck(int argc,
 				    mark_object_for_connectivity, repo, 0);
 	} else {
 		for (source = repo->objects->sources; source; source = source->next)
-			fsck_source(repo, source);
+			if (check_full || source->local)
+				fsck_source(repo, source);
 
 		if (check_full) {
 			struct packed_git *p;
diff --git a/t/t1450-fsck.sh b/t/t1450-fsck.sh
index 77cd96de78..1b4074304c 100755
--- a/t/t1450-fsck.sh
+++ b/t/t1450-fsck.sh
@@ -844,6 +844,11 @@ test_expect_success 'alternate objects are correctly blamed' '
 	echo "../../alt.git/objects" >.git/objects/info/alternates &&
 	mkdir alt.git/objects/$(dirname $path) &&
 	>alt.git/objects/$(dirname $path)/$(basename $path) &&
+
+	# Without "--full", only the local object source is checked.
+	git fsck --no-full >out 2>&1 &&
+	test_must_be_empty out &&
+
 	test_must_fail git fsck >out 2>&1 &&
 	test_grep alt.git out
 '