diff --git a/storage/simulation/cluster.go b/storage/simulation/cluster.go
index a002572d6480..500c8d878dbe 100644
--- a/storage/simulation/cluster.go
+++ b/storage/simulation/cluster.go
@@ -291,7 +291,7 @@ func (c *Cluster) prepareActions() {
 		for storeID, rep := range r.replicas {
 			rep.action, rep.priority = r.allocator.ComputeAction(r.zone, &r.desc)
 			if rep.action == storage.AllocatorNoop {
-				if _, ok := r.getRebalanceTarget(storeID); ok {
+				if _, ok := r.getRebalanceTarget(storeID); ok && c.rand.Float64() < 0.5 {
 					rep.rebalance = true
 					// Set the priority to 1 so that rebalances will occur in
 					// performActions.