diff --git a/share/man/man9/callout.9 b/share/man/man9/callout.9
--- a/share/man/man9/callout.9
+++ b/share/man/man9/callout.9
@@ -29,7 +29,7 @@
 .\"
 .\" $FreeBSD$
 .\"
-.Dd December 13, 2019
+.Dd September 1, 2021
 .Dt CALLOUT 9
 .Os
 .Sh NAME
@@ -241,9 +241,6 @@
 This ensures that stopping or rescheduling the callout will abort any
 previously scheduled invocation.
 .Pp
-Only regular mutexes may be used with
-.Fn callout_init_mtx ;
-spin mutexes are not supported.
 A sleepable read-mostly lock
 .Po
 one initialized with the
diff --git a/share/man/man9/taskqueue.9 b/share/man/man9/taskqueue.9
--- a/share/man/man9/taskqueue.9
+++ b/share/man/man9/taskqueue.9
@@ -28,7 +28,7 @@
 .\"
 .\" $FreeBSD$
 .\"
-.Dd June 6, 2020
+.Dd September 1, 2021
 .Dt TASKQUEUE 9
 .Os
 .Sh NAME
@@ -237,9 +237,6 @@
 .Va flags ,
 as detailed in
 .Xr callout 9 .
-Only non-fast task queues can be used for
-.Va timeout_task
-scheduling.
 If the
 .Va ticks
 argument is negative, the already scheduled enqueueing is not re-scheduled.
diff --git a/sys/kern/kern_mutex.c b/sys/kern/kern_mutex.c
--- a/sys/kern/kern_mutex.c
+++ b/sys/kern/kern_mutex.c
@@ -215,7 +215,7 @@
 lock_spin(struct lock_object *lock, uintptr_t how)
 {
 
-	panic("spin locks can only use msleep_spin");
+	mtx_lock_spin((struct mtx *)lock);
 }
 
 uintptr_t
@@ -232,8 +232,12 @@
 uintptr_t
 unlock_spin(struct lock_object *lock)
 {
+	struct mtx *m;
 
-	panic("spin locks can only use msleep_spin");
+	m = (struct mtx *)lock;
+	mtx_assert(m, MA_OWNED | MA_NOTRECURSED);
+	mtx_unlock_spin(m);
+	return (0);
 }
 
 #ifdef KDTRACE_HOOKS
diff --git a/sys/kern/kern_synch.c b/sys/kern/kern_synch.c
--- a/sys/kern/kern_synch.c
+++ b/sys/kern/kern_synch.c
@@ -188,6 +188,8 @@
 	DROP_GIANT();
 	if (lock != NULL && lock != &Giant.lock_object &&
 	    !(class->lc_flags & LC_SLEEPABLE)) {
+		KASSERT(!(class->lc_flags & LC_SPINLOCK),
+		    ("spin locks can only use msleep_spin"));
 		WITNESS_SAVE(lock, lock_witness);
 		lock_state = class->lc_unlock(lock);
 	} else
diff --git a/sys/kern/kern_timeout.c b/sys/kern/kern_timeout.c
--- a/sys/kern/kern_timeout.c
+++ b/sys/kern/kern_timeout.c
@@ -919,8 +919,9 @@
 	} else {
 		direct = 0;
 	}
-	KASSERT(!direct || c->c_lock == NULL,
-	    ("%s: direct callout %p has lock", __func__, c));
+	KASSERT(!direct || c->c_lock == NULL ||
+	    (LOCK_CLASS(c->c_lock)->lc_flags & LC_SPINLOCK),
+	    ("%s: direct callout %p has non-spin lock", __func__, c));
 	cc = callout_lock(c);
 	/*
 	 * Don't allow migration if the user does not care.
@@ -1332,9 +1333,8 @@
 	    ("callout_init_lock: bad flags %d", flags));
 	KASSERT(lock != NULL || (flags & CALLOUT_RETURNUNLOCKED) == 0,
 	    ("callout_init_lock: CALLOUT_RETURNUNLOCKED with no lock"));
-	KASSERT(lock == NULL || !(LOCK_CLASS(lock)->lc_flags &
-	    (LC_SPINLOCK | LC_SLEEPABLE)), ("%s: invalid lock class",
-	    __func__));
+	KASSERT(lock == NULL || !(LOCK_CLASS(lock)->lc_flags & LC_SLEEPABLE),
+	    ("%s: callout %p has sleepable lock", __func__, c));
 	c->c_iflags = flags & (CALLOUT_RETURNUNLOCKED | CALLOUT_SHAREDLOCK);
 	c->c_cpu = cc_default_cpu;
 }
diff --git a/sys/kern/subr_taskqueue.c b/sys/kern/subr_taskqueue.c
--- a/sys/kern/subr_taskqueue.c
+++ b/sys/kern/subr_taskqueue.c
@@ -309,7 +309,6 @@
 	TQ_LOCK(queue);
 	KASSERT(timeout_task->q == NULL || timeout_task->q == queue,
 	    ("Migrated queue"));
-	KASSERT(!queue->tq_spin, ("Timeout for spin-queue"));
 	timeout_task->q = queue;
 	res = timeout_task->t.ta_pending;
 	if (timeout_task->f & DT_DRAIN_IN_PROGRESS) {
@@ -329,6 +328,8 @@
 				sbt = -sbt; /* Ignore overflow. */
 		}
 		if (sbt > 0) {
+			if (queue->tq_spin)
+				flags |= C_DIRECT_EXEC;
 			callout_reset_sbt(&timeout_task->c, sbt, pr,
 			    taskqueue_timeout_func, timeout_task, flags);
 		}