diff --git a/module/zfs/metaslab.c b/module/zfs/metaslab.c
index d50225fc3f..3876b10149 100644
--- a/module/zfs/metaslab.c
+++ b/module/zfs/metaslab.c
@@ -640,6 +640,7 @@ void
 metaslab_class_evict_old(metaslab_class_t *mc, uint64_t txg)
 {
 	multilist_t *ml = &mc->mc_metaslab_txg_list;
+	hrtime_t now = gethrtime();
 	for (int i = 0; i < multilist_get_num_sublists(ml); i++) {
 		multilist_sublist_t *mls = multilist_sublist_lock_idx(ml, i);
 		metaslab_t *msp = multilist_sublist_head(mls);
@@ -663,8 +664,10 @@ metaslab_class_evict_old(metaslab_class_t *mc, uint64_t txg)
 			multilist_sublist_unlock(mls);
 			if (txg >
 			    msp->ms_selected_txg + metaslab_unload_delay &&
-			    gethrtime() > msp->ms_selected_time +
-			    (uint64_t)MSEC2NSEC(metaslab_unload_delay_ms)) {
+			    now > msp->ms_selected_time +
+			    MSEC2NSEC(metaslab_unload_delay_ms) &&
+			    (msp->ms_allocator == -1 ||
+			    !metaslab_preload_enabled)) {
 				metaslab_evict(msp, txg);
 			} else {
 				/*
diff --git a/module/zfs/spa.c b/module/zfs/spa.c
index fc7cf000f0..886867b739 100644
--- a/module/zfs/spa.c
+++ b/module/zfs/spa.c
@@ -9939,6 +9939,9 @@ spa_sync(spa_t *spa, uint64_t txg)
 
 	metaslab_class_evict_old(spa->spa_normal_class, txg);
 	metaslab_class_evict_old(spa->spa_log_class, txg);
+	/* spa_embedded_log_class has only one metaslab per vdev. */
+	metaslab_class_evict_old(spa->spa_special_class, txg);
+	metaslab_class_evict_old(spa->spa_dedup_class, txg);
 
 	spa_sync_close_syncing_log_sm(spa);