diff --git a/br/tests/lightning_disable_scheduler_by_key_range/run.sh b/br/tests/lightning_disable_scheduler_by_key_range/run.sh
deleted file mode 100644
index 2a88f0e0cac8e..0000000000000
--- a/br/tests/lightning_disable_scheduler_by_key_range/run.sh
+++ /dev/null
@@ -1,65 +0,0 @@
-#!/bin/bash
-#
-# Copyright 2022 PingCAP, Inc.
-#
-# Licensed under the Apache License, Version 2.0 (the "License");
-# you may not use this file except in compliance with the License.
-# You may obtain a copy of the License at
-#
-#     http://www.apache.org/licenses/LICENSE-2.0
-#
-# Unless required by applicable law or agreed to in writing, software
-# distributed under the License is distributed on an "AS IS" BASIS,
-# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
-# See the License for the specific language governing permissions and
-# limitations under the License.
-
-set -eux
-
-export GO_FAILPOINTS="github.com/pingcap/tidb/br/pkg/lightning/EnableTestAPI=return"
-export GO_FAILPOINTS="${GO_FAILPOINTS};github.com/pingcap/tidb/br/pkg/lightning/backend/local/ReadyForImportEngine=sleep(10000)"
-
-run_lightning --backend='local' &
-shpid="$!"
-pid=
-
-ensure_lightning_is_started() {
-  for _ in {0..60}; do
-    pid=$(pstree -p "$shpid" | grep -Eo "tidb-lightning\.\([0-9]*\)" | grep -Eo "[0-9]*") || true
-    [ -n "$pid" ] && break
-    sleep 1
-  done
-  if [ -z "$pid" ]; then
-    echo "lightning doesn't start successfully, please check the log" >&2
-    exit 1
-  fi
-  echo "lightning is started, pid is $pid"
-}
-
-ready_for_import_engine() {
-  for _ in {0..60}; do
-    grep -Fq "start import engine" "$TEST_DIR"/lightning.log && return
-    sleep 1
-  done
-  echo "lightning doesn't start import engine, please check the log" >&2
-  exit 1
-}
-
-ensure_lightning_is_started
-ready_for_import_engine
-
-run_curl "https://${PD_ADDR}/pd/api/v1/config/cluster-version"
-
-length=$(run_curl "https://${PD_ADDR}/pd/api/v1/config/region-label/rules" | jq '[ .[] | select(.rule_type == "key-range" and .labels[0].key == "schedule") ] | length')
-if [ "$length" != "1" ]; then
-  echo "region-label key-range schedule rules should be 1, but got $length" >&2
-  exit 1
-fi
-
-wait "$shpid"
-
-length=$(run_curl "https://${PD_ADDR}/pd/api/v1/config/region-label/rules" | jq '[ .[] | select(.rule_type == "key-range" and .labels[0].key == "schedule") ] | length')
-if [ -n "$length" ] && [ "$length" -ne 0 ]; then
-  echo "region-label key-range schedule rules should be 0, but got $length" >&2
-  exit 1
-fi
diff --git a/br/tests/lightning_reload_cert/run.sh b/br/tests/lightning_reload_cert/run.sh
index be0c5ff40421e..e06ef8d7fbf51 100644
--- a/br/tests/lightning_reload_cert/run.sh
+++ b/br/tests/lightning_reload_cert/run.sh
@@ -29,7 +29,7 @@ shpid="$!"
 sleep 15
 ok=0
 for _ in {0..60}; do
-  if grep -Fq "connection error" "$TEST_DIR"/lightning.log; then
+  if grep -Fq "connection closed before server preface received" "$TEST_DIR"/lightning.log; then
     ok=1
     break
   fi