diff --git a/src/refdb_fs.c b/src/refdb_fs.c
index 9ee3568da..8a2d56327 100644
--- a/src/refdb_fs.c
+++ b/src/refdb_fs.c
@@ -677,13 +677,6 @@ static int packed_find_peel(refdb_fs_backend *backend, struct packref *ref)
 	if (ref->flags & GIT_PACKREF_HAS_PEEL)
 		return 0;
 
-	/*
-	 * Only applies to tags, i.e. references
-	 * in the /refs/tags folder
-	 */
-	if (git__prefixcmp(ref->name, GIT_REFS_TAGS_DIR) != 0)
-		return 0;
-
 	/*
 	 * Find the tagged object in the repository
 	 */
diff --git a/src/refs.h b/src/refs.h
index 908e86f29..927bc83ce 100644
--- a/src/refs.h
+++ b/src/refs.h
@@ -26,7 +26,7 @@
 
 #define GIT_SYMREF "ref: "
 #define GIT_PACKEDREFS_FILE "packed-refs"
-#define GIT_PACKEDREFS_HEADER "# pack-refs with: peeled "
+#define GIT_PACKEDREFS_HEADER "# pack-refs with: peeled fully-peeled"
 #define GIT_PACKEDREFS_FILE_MODE 0666
 
 #define GIT_HEAD_FILE "HEAD"