diff --git a/tsdb/tombstones/tombstones_test.go b/tsdb/tombstones/tombstones_test.go
index 81a82c8c5..1f45f3f99 100644
--- a/tsdb/tombstones/tombstones_test.go
+++ b/tsdb/tombstones/tombstones_test.go
@@ -118,6 +118,11 @@ func TestAddingNewIntervals(t *testing.T) {
 			new:   Interval{11, 14},
 			exp:   Intervals{{5, 20}, {25, 30}},
 		},
+		{
+			exist: Intervals{{5, 10}, {12, 20}, {25, 30}},
+			new:   Interval{1, 3},
+			exp:   Intervals{{1, 3}, {5, 10}, {12, 20}, {25, 30}},
+		},
 	}
 
 	for _, c := range cases {