diff --git a/statistics/handle/handle_test.go b/statistics/handle/handle_test.go
index 533a15ad54e2f..53b9549d5e7ba 100644
--- a/statistics/handle/handle_test.go
+++ b/statistics/handle/handle_test.go
@@ -878,7 +878,7 @@ func (s *testStatsSuite) TestBuildGlobalLevelStats(c *C) {
 }
 
 // nolint:unused
-func (s *testStatsSuite) prepareForGlobalStatsWithOpts(c *C, tk *testkit.TestKit, tblName, dbName string) {
+func (s *testSerialStatsSuite) prepareForGlobalStatsWithOpts(c *C, tk *testkit.TestKit, tblName, dbName string) {
 	tk.MustExec("create database if not exists " + dbName)
 	tk.MustExec("use " + dbName)
 	tk.MustExec("drop table if exists " + tblName)
@@ -902,7 +902,7 @@ func (s *testStatsSuite) prepareForGlobalStatsWithOpts(c *C, tk *testkit.TestKit
 }
 
 // nolint:unused
-func (s *testStatsSuite) checkForGlobalStatsWithOpts(c *C, tk *testkit.TestKit, t string, p string, topn, buckets int) {
+func (s *testSerialStatsSuite) checkForGlobalStatsWithOpts(c *C, tk *testkit.TestKit, t string, p string, topn, buckets int) {
 	delta := buckets/2 + 1
 	for _, isIdx := range []int{0, 1} {
 		c.Assert(len(tk.MustQuery(fmt.Sprintf("show stats_topn where table_name='%v' and partition_name='%v' and is_index=%v", t, p, isIdx)).Rows()), Equals, topn)
@@ -914,7 +914,7 @@ func (s *testStatsSuite) checkForGlobalStatsWithOpts(c *C, tk *testkit.TestKit,
 	}
 }
 
-func (s *testStatsSuite) TestAnalyzeGlobalStatsWithOpts(c *C) {
+func (s *testSerialStatsSuite) TestAnalyzeGlobalStatsWithOpts(c *C) {
 	if israce.RaceEnabled {
 		c.Skip("exhaustive types test, skip race test")
 	}
@@ -953,7 +953,7 @@ func (s *testStatsSuite) TestAnalyzeGlobalStatsWithOpts(c *C) {
 	}
 }
 
-func (s *testStatsSuite) TestAnalyzeGlobalStatsWithOpts2(c *C) {
+func (s *testSerialStatsSuite) TestAnalyzeGlobalStatsWithOpts2(c *C) {
 	if israce.RaceEnabled {
 		c.Skip("exhaustive types test, skip race test")
 	}