diff --git a/cmd/frostfs-adm/internal/modules/morph/contract/dump_hashes.go b/cmd/frostfs-adm/internal/modules/morph/contract/dump_hashes.go
index 6e406be56..11cc3bd04 100644
--- a/cmd/frostfs-adm/internal/modules/morph/contract/dump_hashes.go
+++ b/cmd/frostfs-adm/internal/modules/morph/contract/dump_hashes.go
@@ -177,12 +177,12 @@ func dumpCustomZoneHashes(cmd *cobra.Command, nnsHash util.Uint160, zone string,
 			_ = inv.TerminateSession(sessionID)
 		}()
 
-		items, err := inv.TraverseIterator(sessionID, &iter, nnsMaxTokens)
+		items, err := inv.TraverseIterator(sessionID, &iter, 0)
 		for err == nil && len(items) != 0 {
 			for i := range items {
 				processItem(items[i])
 			}
-			items, err = inv.TraverseIterator(sessionID, &iter, nnsMaxTokens)
+			items, err = inv.TraverseIterator(sessionID, &iter, 0)
 		}
 		if err != nil {
 			return fmt.Errorf("error during NNS domains iteration: %w", err)
diff --git a/pkg/morph/client/client.go b/pkg/morph/client/client.go
index 88f9703e7..2570bc2c9 100644
--- a/pkg/morph/client/client.go
+++ b/pkg/morph/client/client.go
@@ -260,8 +260,13 @@ func (c *Client) TestInvokeIterator(cb func(stackitem.Item) error, batchSize int
 		_ = c.rpcActor.TerminateSession(sid)
 	}()
 
+	// Batch size for TraverseIterator() can restricted on the server-side.
+	traverseBatchSize := batchSize
+	if invoker.DefaultIteratorResultItems < traverseBatchSize {
+		traverseBatchSize = invoker.DefaultIteratorResultItems
+	}
 	for {
-		items, err := c.rpcActor.TraverseIterator(sid, &r, batchSize)
+		items, err := c.rpcActor.TraverseIterator(sid, &r, traverseBatchSize)
 		if err != nil {
 			return err
 		}
@@ -271,7 +276,7 @@ func (c *Client) TestInvokeIterator(cb func(stackitem.Item) error, batchSize int
 				return err
 			}
 		}
-		if len(items) < batchSize {
+		if len(items) < traverseBatchSize {
 			break
 		}
 	}