diff --git a/migration/ram.c b/migration/ram.c
index 96c84f770a..89eec7ee9d 100644
--- a/migration/ram.c
+++ b/migration/ram.c
@@ -2286,6 +2286,12 @@ static bool get_queued_page(RAMState *rs, PageSearchStatus *pss)
          */
         pss->block = block;
         pss->page = offset >> TARGET_PAGE_BITS;
+
+        /*
+         * This unqueued page would break the "one round" check, even is
+         * really rare.
+         */
+        pss->complete_round = false;
     }
 
     return !!block;