diff --git a/kernel/sched/ext/ext.c b/kernel/sched/ext/ext.c
index 547468af9674..2da3a5f44b4a 100644
--- a/kernel/sched/ext/ext.c
+++ b/kernel/sched/ext/ext.c
@@ -1878,10 +1878,13 @@ static void enqueue_task_scx(struct rq *rq, struct task_struct *p, int core_enq_
 	 * Restoring a running task will be immediately followed by
 	 * set_next_task_scx() which expects the task to not be on the BPF
 	 * scheduler as tasks can only start running through local DSQs. Force
-	 * direct-dispatch into the local DSQ by setting the sticky_cpu.
+	 * direct-dispatch into the local DSQ by setting the sticky_cpu. Mark
+	 * IGNORE_CAPS to force entry into the local DSQ.
 	 */
-	if (unlikely(enq_flags & ENQUEUE_RESTORE) && task_current(rq, p))
+	if (unlikely(enq_flags & ENQUEUE_RESTORE) && task_current(rq, p)) {
 		sticky_cpu = cpu_of(rq);
+		enq_flags |= SCX_ENQ_IGNORE_CAPS;
+	}
 
 	if (p->scx.flags & SCX_TASK_QUEUED) {
 		WARN_ON_ONCE(!task_runnable(p));
diff --git a/kernel/sched/ext/internal.h b/kernel/sched/ext/internal.h
index a360d312702b..079ee941b343 100644
--- a/kernel/sched/ext/internal.h
+++ b/kernel/sched/ext/internal.h
@@ -1568,6 +1568,7 @@ enum scx_enq_flags {
 	SCX_ENQ_DSQ_PRIQ	= 1LLU << 57,
 	SCX_ENQ_NESTED		= 1LLU << 58,
 	SCX_ENQ_GDSQ_FALLBACK	= 1LLU << 59,	/* fell back to global DSQ */
+	SCX_ENQ_IGNORE_CAPS	= 1LLU << 60,	/* admit to local DSQ ignoring caps */
 };
 
 enum scx_deq_flags {
diff --git a/kernel/sched/ext/sub.h b/kernel/sched/ext/sub.h
index 9fc95d27f393..3c22ae40349d 100644
--- a/kernel/sched/ext/sub.h
+++ b/kernel/sched/ext/sub.h
@@ -112,6 +112,9 @@ static inline u64 scx_missing_caps(struct scx_sched *sch, s32 cpu, u64 needed)
 /* map @enq_flags to the SCX_CAP_* bit required for the local-DSQ insert */
 static inline u64 scx_caps_for_enq(u64 enq_flags)
 {
+	/* a restored task must be put into the local DSQ regardless of caps */
+	if (enq_flags & SCX_ENQ_IGNORE_CAPS)
+		return 0;
 	return 0;
 }