diff --git a/pkg/executor/analyze_col_v2.go b/pkg/executor/analyze_col_v2.go
index c734a9be9c32f..1fb3a3834c704 100644
--- a/pkg/executor/analyze_col_v2.go
+++ b/pkg/executor/analyze_col_v2.go
@@ -571,11 +571,18 @@ func (e *AnalyzeColumnsExecV2) buildSubIndexJobForSpecialIndex(indexInfos []*mod
 	_, offset := timeutil.Zone(e.ctx.GetSessionVars().Location())
 	tasks := make([]*analyzeTask, 0, len(indexInfos))
 	sc := e.ctx.GetSessionVars().StmtCtx
+	var concurrency int
+	if e.ctx.GetSessionVars().InRestrictedSQL {
+		// In restricted SQL, we use the default value of IndexSerialScanConcurrency. it is copied from tidb_sysproc_scan_concurrency.
+		concurrency = e.ctx.GetSessionVars().IndexSerialScanConcurrency()
+	} else {
+		concurrency = e.ctx.GetSessionVars().AnalyzeDistSQLScanConcurrency()
+	}
 	for _, indexInfo := range indexInfos {
 		base := baseAnalyzeExec{
 			ctx:         e.ctx,
 			tableID:     e.TableID,
-			concurrency: e.ctx.GetSessionVars().IndexSerialScanConcurrency(),
+			concurrency: concurrency,
 			analyzePB: &tipb.AnalyzeReq{
 				Tp:             tipb.AnalyzeType_TypeIndex,
 				Flags:          sc.PushDownFlags(),
diff --git a/pkg/executor/builder.go b/pkg/executor/builder.go
index 32dfcc49da78b..2fc032bcd2c55 100644
--- a/pkg/executor/builder.go
+++ b/pkg/executor/builder.go
@@ -2559,11 +2559,17 @@ func (b *executorBuilder) buildAnalyzeIndexPushdown(task plannercore.AnalyzeInde
 	failpoint.Inject("injectAnalyzeSnapshot", func(val failpoint.Value) {
 		startTS = uint64(val.(int))
 	})
-
+	var concurrency int
+	if b.ctx.GetSessionVars().InRestrictedSQL {
+		// In restricted SQL, we use the default value of IndexSerialScanConcurrency. it is copied from tidb_sysproc_scan_concurrency.
+		concurrency = b.ctx.GetSessionVars().IndexSerialScanConcurrency()
+	} else {
+		concurrency = b.ctx.GetSessionVars().AnalyzeDistSQLScanConcurrency()
+	}
 	base := baseAnalyzeExec{
 		ctx:         b.ctx,
 		tableID:     task.TableID,
-		concurrency: b.ctx.GetSessionVars().IndexSerialScanConcurrency(),
+		concurrency: concurrency,
 		analyzePB: &tipb.AnalyzeReq{
 			Tp:             tipb.AnalyzeType_TypeIndex,
 			Flags:          sc.PushDownFlags(),