diff --git a/kernel/sched/core.c b/kernel/sched/core.c
index af017e038b48..27cb06e19b12 100644
--- a/kernel/sched/core.c
+++ b/kernel/sched/core.c
@@ -261,36 +261,51 @@ void sched_core_dequeue(struct rq *rq, struct task_struct *p, int flags)
 		resched_curr(rq);
 }
 
-/*
- * Find left-most (aka, highest priority) task matching @cookie.
- */
-static struct task_struct *sched_core_find(struct rq *rq, unsigned long cookie)
+static int sched_task_is_throttled(struct task_struct *p, int cpu)
 {
-	struct rb_node *node;
-
-	node = rb_find_first((void *)cookie, &rq->core_tree, rb_sched_core_cmp);
-	/*
-	 * The idle task always matches any cookie!
-	 */
-	if (!node)
-		return idle_sched_class.pick_task(rq);
+	if (p->sched_class->task_is_throttled)
+		return p->sched_class->task_is_throttled(p, cpu);
 
-	return __node_2_sc(node);
+	return 0;
 }
 
 static struct task_struct *sched_core_next(struct task_struct *p, unsigned long cookie)
 {
 	struct rb_node *node = &p->core_node;
+	int cpu = task_cpu(p);
+
+	do {
+		node = rb_next(node);
+		if (!node)
+			return NULL;
+
+		p = container_of(node, struct task_struct, core_node);
+		if (p->core_cookie != cookie)
+			return NULL;
+	} while (sched_task_is_throttled(p, cpu));
+
+	return p;
+}
 
-	node = rb_next(node);
+/*
+ * Find left-most (aka, highest priority) and unthrottled task matching @cookie.
+ * If no suitable task is found, NULL will be returned.
+ */
+static struct task_struct *sched_core_find(struct rq *rq, unsigned long cookie)
+{
+	struct task_struct *p;
+	struct rb_node *node;
+
+	node = rb_find_first((void *)cookie, &rq->core_tree, rb_sched_core_cmp);
 	if (!node)
 		return NULL;
 
-	p = container_of(node, struct task_struct, core_node);
-	if (p->core_cookie != cookie)
-		return NULL;
+	p = __node_2_sc(node);
 
-	return p;
+	if (!sched_task_is_throttled(p, rq->cpu))
+		return p;
+
+	return sched_core_next(p, cookie);
 }
 
 /*
@@ -6236,7 +6251,7 @@ static bool try_steal_cookie(int this, int that)
 		goto unlock;
 
 	p = sched_core_find(src, cookie);
-	if (p == src->idle)
+	if (!p)
 		goto unlock;
 
 	do {
@@ -6248,6 +6263,13 @@ static bool try_steal_cookie(int this, int that)
 
 		if (p->core_occupation > dst->idle->core_occupation)
 			goto next;
+		/*
+		 * sched_core_find() and sched_core_next() will ensure that task @p
+		 * is not throttled now, we also need to check whether the runqueue
+		 * of the destination CPU is being throttled.
+		 */
+		if (sched_task_is_throttled(p, this))
+			goto next;
 
 		deactivate_task(src, p, 0);
 		set_task_cpu(p, this);
diff --git a/kernel/sched/deadline.c b/kernel/sched/deadline.c
index 71b24371a6f7..4cc7e1ca066d 100644
--- a/kernel/sched/deadline.c
+++ b/kernel/sched/deadline.c
@@ -2704,6 +2704,13 @@ static void prio_changed_dl(struct rq *rq, struct task_struct *p,
 #endif
 }
 
+#ifdef CONFIG_SCHED_CORE
+static int task_is_throttled_dl(struct task_struct *p, int cpu)
+{
+	return p->dl.dl_throttled;
+}
+#endif
+
 DEFINE_SCHED_CLASS(dl) = {
 
 	.enqueue_task		= enqueue_task_dl,
@@ -2736,6 +2743,9 @@ DEFINE_SCHED_CLASS(dl) = {
 	.switched_to		= switched_to_dl,
 
 	.update_curr		= update_curr_dl,
+#ifdef CONFIG_SCHED_CORE
+	.task_is_throttled	= task_is_throttled_dl,
+#endif
 };
 
 /* Used for dl_bw check and update, used under sched_rt_handler()::mutex */
diff --git a/kernel/sched/fair.c b/kernel/sched/fair.c
index 7a1b1f855b96..b572367249f0 100644
--- a/kernel/sched/fair.c
+++ b/kernel/sched/fair.c
@@ -11933,6 +11933,18 @@ bool cfs_prio_less(const struct task_struct *a, const struct task_struct *b,
 
 	return delta > 0;
 }
+
+static int task_is_throttled_fair(struct task_struct *p, int cpu)
+{
+	struct cfs_rq *cfs_rq;
+
+#ifdef CONFIG_FAIR_GROUP_SCHED
+	cfs_rq = task_group(p)->cfs_rq[cpu];
+#else
+	cfs_rq = &cpu_rq(cpu)->cfs;
+#endif
+	return throttled_hierarchy(cfs_rq);
+}
 #else
 static inline void task_tick_core(struct rq *rq, struct task_struct *curr) {}
 #endif
@@ -12559,6 +12571,10 @@ DEFINE_SCHED_CLASS(fair) = {
 	.task_change_group	= task_change_group_fair,
 #endif
 
+#ifdef CONFIG_SCHED_CORE
+	.task_is_throttled	= task_is_throttled_fair,
+#endif
+
 #ifdef CONFIG_UCLAMP_TASK
 	.uclamp_enabled		= 1,
 #endif
diff --git a/kernel/sched/rt.c b/kernel/sched/rt.c
index 0a11f44adee5..9d67dfbf1000 100644
--- a/kernel/sched/rt.c
+++ b/kernel/sched/rt.c
@@ -2677,6 +2677,21 @@ static unsigned int get_rr_interval_rt(struct rq *rq, struct task_struct *task)
 		return 0;
 }
 
+#ifdef CONFIG_SCHED_CORE
+static int task_is_throttled_rt(struct task_struct *p, int cpu)
+{
+	struct rt_rq *rt_rq;
+
+#ifdef CONFIG_RT_GROUP_SCHED
+	rt_rq = task_group(p)->rt_rq[cpu];
+#else
+	rt_rq = &cpu_rq(cpu)->rt;
+#endif
+
+	return rt_rq_throttled(rt_rq);
+}
+#endif
+
 DEFINE_SCHED_CLASS(rt) = {
 
 	.enqueue_task		= enqueue_task_rt,
@@ -2710,6 +2725,10 @@ DEFINE_SCHED_CLASS(rt) = {
 
 	.update_curr		= update_curr_rt,
 
+#ifdef CONFIG_SCHED_CORE
+	.task_is_throttled	= task_is_throttled_rt,
+#endif
+
 #ifdef CONFIG_UCLAMP_TASK
 	.uclamp_enabled		= 1,
 #endif
diff --git a/kernel/sched/sched.h b/kernel/sched/sched.h
index 3e8df6d31c1e..060616944d7a 100644
--- a/kernel/sched/sched.h
+++ b/kernel/sched/sched.h
@@ -2224,6 +2224,10 @@ struct sched_class {
 #ifdef CONFIG_FAIR_GROUP_SCHED
 	void (*task_change_group)(struct task_struct *p);
 #endif
+
+#ifdef CONFIG_SCHED_CORE
+	int (*task_is_throttled)(struct task_struct *p, int cpu);
+#endif
 };
 
 static inline void put_prev_task(struct rq *rq, struct task_struct *prev)
