diff --git a/agent/consul/state/tombstone_gc_test.go b/agent/consul/state/tombstone_gc_test.go
index 70425ee587..30624d1bbe 100644
--- a/agent/consul/state/tombstone_gc_test.go
+++ b/agent/consul/state/tombstone_gc_test.go
@@ -38,7 +38,7 @@ func TestTombstoneGC(t *testing.T) {
 	start := time.Now()
 	gc.Hint(100)
 
-	time.Sleep(2 * gran)
+	time.Sleep(2*gran + gran/3)
 	start2 := time.Now()
 	gc.Hint(120)
 	gc.Hint(125)