diff --git a/module/zfs/mmp.c b/module/zfs/mmp.c
index 35348f8b4d..6541eca162 100644
--- a/module/zfs/mmp.c
+++ b/module/zfs/mmp.c
@@ -378,7 +378,7 @@ mmp_thread(spa_t *spa)
 	 * with fake, but reasonable, default non-zero values.
 	 */
 	mmp->mmp_delay = MSEC2NSEC(MAX(zfs_multihost_interval,
-	    MMP_MIN_INTERVAL)) / vdev_count_leaves(spa);
+	    MMP_MIN_INTERVAL)) / MAX(vdev_count_leaves(spa), 1);
 	mmp->mmp_last_write = gethrtime() - mmp->mmp_delay;
 
 	while (!mmp->mmp_thread_exiting) {
@@ -392,7 +392,7 @@ mmp_thread(spa_t *spa)
 		start = gethrtime();
 		if (multihost) {
 			next_time = start + mmp_interval /
-			    vdev_count_leaves(spa);
+			    MAX(vdev_count_leaves(spa), 1);
 		} else {
 			next_time = start + MSEC2NSEC(MMP_DEFAULT_INTERVAL);
 		}
diff --git a/module/zfs/spa.c b/module/zfs/spa.c
index 7edf0459ce..f576293ebf 100644
--- a/module/zfs/spa.c
+++ b/module/zfs/spa.c
@@ -2448,7 +2448,7 @@ spa_activity_check(spa_t *spa, uberblock_t *ub, nvlist_t *config)
 	 */
 	if (ub->ub_mmp_magic == MMP_MAGIC && ub->ub_mmp_delay)
 		import_delay = MAX(import_delay, import_intervals *
-		    ub->ub_mmp_delay * vdev_count_leaves(spa));
+		    ub->ub_mmp_delay * MAX(vdev_count_leaves(spa), 1));
 
 	/* Apply a floor using the local default values. */
 	import_delay = MAX(import_delay, import_intervals *