diff --git a/t/t5309-pack-delta-cycles.sh b/t/t5309-pack-delta-cycles.sh
index 1640bf7764..3e7861b075 100755
--- a/t/t5309-pack-delta-cycles.sh
+++ b/t/t5309-pack-delta-cycles.sh
@@ -56,4 +56,22 @@ test_expect_success 'index-pack detects REF_DELTA cycles' '
 	test_must_fail git index-pack --fix-thin --stdin <cycle.pack
 '
 
+test_expect_failure 'failover to an object in another pack' '
+	clear_packs &&
+	git index-pack --stdin <ab.pack &&
+	git index-pack --stdin --fix-thin <cycle.pack
+'
+
+test_expect_failure 'failover to a duplicate object in the same pack' '
+	clear_packs &&
+	{
+		pack_header 3 &&
+		pack_obj $A $B &&
+		pack_obj $B $A &&
+		pack_obj $A
+	} >recoverable.pack &&
+	pack_trailer recoverable.pack &&
+	git index-pack --fix-thin --stdin <recoverable.pack
+'
+
 test_done