diff --git a/kernel/sched/deadline.c b/kernel/sched/deadline.c
index 5285332392d5..9d1e76a21297 100644
--- a/kernel/sched/deadline.c
+++ b/kernel/sched/deadline.c
@@ -1622,7 +1622,8 @@ static void switched_to_dl(struct rq *rq, struct task_struct *p)
 
 	if (task_on_rq_queued(p) && rq->curr != p) {
 #ifdef CONFIG_SMP
-		if (rq->dl.overloaded && push_dl_task(rq) && rq != task_rq(p))
+		if (p->nr_cpus_allowed > 1 && rq->dl.overloaded &&
+			push_dl_task(rq) && rq != task_rq(p))
 			/* Only reschedule if pushing failed */
 			check_resched = 0;
 #endif /* CONFIG_SMP */