diff --git a/mm/oom_kill.c b/mm/oom_kill.c
index fc81cb2..859250c 100644
--- a/mm/oom_kill.c
+++ b/mm/oom_kill.c
@@ -208,8 +208,13 @@
 	 */
 	points += p->signal->oom_score_adj;
 
-	if (points < 0)
-		return 0;
+	/*
+	 * Never return 0 for an eligible task that may be killed since it's
+	 * possible that no single user task uses more than 0.1% of memory and
+	 * no single admin tasks uses more than 3.0%.
+	 */
+	if (points <= 0)
+		return 1;
 	return (points < 1000) ? points : 1000;
 }