diff --git a/pack/set.go b/pack/set.go
index 8c50c17..d6a6bd2 100644
--- a/pack/set.go
+++ b/pack/set.go
@@ -60,6 +60,12 @@ func NewSet(db string) (*Set, error) {
 			// We have a pack (since it matched the regex), but the
 			// index is missing or unusable.  Skip this pack and
 			// continue on with the next one, as Git does.
+			if idxf != nil {
+				// In the unlikely event that we did open a
+				// file, close it, but discard any error in
+				// doing so.
+				idxf.Close()
+			}
 			continue
 		}