diff --git a/builtin/repack.c b/builtin/repack.c
index 36d1f03671..15071fadbe 100644
--- a/builtin/repack.c
+++ b/builtin/repack.c
@@ -23,6 +23,7 @@
 #define PACK_CRUFT 4
 
 #define DELETE_PACK 1
+#define CRUFT_PACK 2
 
 static int pack_everything;
 static int delta_base_offset = 1;
@@ -159,10 +160,15 @@ static void collect_pack_filenames(struct string_list *fname_nonkept_list,
 		fname = xmemdupz(e->d_name, len);
 
 		if ((extra_keep->nr > 0 && i < extra_keep->nr) ||
-		    (file_exists(mkpath("%s/%s.keep", packdir, fname))))
+		    (file_exists(mkpath("%s/%s.keep", packdir, fname)))) {
 			string_list_append_nodup(fname_kept_list, fname);
-		else
-			string_list_append_nodup(fname_nonkept_list, fname);
+		} else {
+			struct string_list_item *item;
+			item = string_list_append_nodup(fname_nonkept_list,
+							fname);
+			if (file_exists(mkpath("%s/%s.mtimes", packdir, fname)))
+				item->util = (void*)(uintptr_t)CRUFT_PACK;
+		}
 	}
 	closedir(dir);
 }
@@ -564,6 +570,17 @@ static void midx_included_packs(struct string_list *include,
 
 			string_list_insert(include, strbuf_detach(&buf, NULL));
 		}
+
+		for_each_string_list_item(item, existing_nonkept_packs) {
+			if (!((uintptr_t)item->util & CRUFT_PACK)) {
+				/*
+				 * no need to check DELETE_PACK, since we're not
+				 * doing an ALL_INTO_ONE repack
+				 */
+				continue;
+			}
+			string_list_insert(include, xstrfmt("%s.idx", item->string));
+		}
 	} else {
 		for_each_string_list_item(item, existing_nonkept_packs) {
 			if ((uintptr_t)item->util & DELETE_PACK)
diff --git a/t/t5329-pack-objects-cruft.sh b/t/t5329-pack-objects-cruft.sh
index c82f973b41..8de87afce2 100755
--- a/t/t5329-pack-objects-cruft.sh
+++ b/t/t5329-pack-objects-cruft.sh
@@ -648,4 +648,30 @@ test_expect_success 'cruft --local drops unreachable objects' '
 	)
 '
 
+test_expect_success 'MIDX bitmaps tolerate reachable cruft objects' '
+	git init repo &&
+	test_when_finished "rm -fr repo" &&
+	(
+		cd repo &&
+
+		test_commit reachable &&
+		test_commit cruft &&
+		unreachable="$(git rev-parse cruft)" &&
+
+		git reset --hard $unreachable^ &&
+		git tag -d cruft &&
+		git reflog expire --all --expire=all &&
+
+		git repack --cruft -d &&
+
+		# resurrect the unreachable object via a new commit. the
+		# new commit will get selected for a bitmap, but be
+		# missing one of its parents from the selected packs.
+		git reset --hard $unreachable &&
+		test_commit resurrect &&
+
+		git repack --write-midx --write-bitmap-index --geometric=2 -d
+	)
+'
+
 test_done