diff --git a/src/test/regress/multi_schedule b/src/test/regress/multi_schedule
index 394652f6f..583a97ebf 100644
--- a/src/test/regress/multi_schedule
+++ b/src/test/regress/multi_schedule
@@ -215,7 +215,11 @@ test: multi_transaction_recovery
 # multi_router_planner creates hash partitioned tables.
 # ---------
 test: multi_copy fast_path_router_modify pg_dump
-test: multi_router_planner multi_router_planner_fast_path null_parameters
+test: multi_router_planner
+# These 2 tests have prepared statements which sometimes get invalidated by concurrent tests,
+# changing the debug output. We should not run them in parallel with others
+test: null_parameters
+test: multi_router_planner_fast_path
 
 # ----------
 # multi_large_shardid loads more lineitem data using high shard identifiers