diff --git a/executor/adapter.go b/executor/adapter.go
index b40005a3a2dd3..351414b4b1e23 100644
--- a/executor/adapter.go
+++ b/executor/adapter.go
@@ -424,9 +424,6 @@ func IsPointGetWithPKOrUniqueKeyByAutoCommit(ctx sessionctx.Context, p plan.Plan
 	case *plan.PhysicalIndexReader:
 		indexScan := v.IndexPlans[0].(*plan.PhysicalIndexScan)
 		return indexScan.IsPointGetByUniqueKey(ctx.GetSessionVars().StmtCtx), nil
-	case *plan.PhysicalIndexLookUpReader:
-		indexScan := v.IndexPlans[0].(*plan.PhysicalIndexScan)
-		return indexScan.IsPointGetByUniqueKey(ctx.GetSessionVars().StmtCtx), nil
 	case *plan.PhysicalTableReader:
 		tableScan := v.TablePlans[0].(*plan.PhysicalTableScan)
 		return len(tableScan.Ranges) == 1 && tableScan.Ranges[0].IsPoint(ctx.GetSessionVars().StmtCtx), nil
diff --git a/executor/executor_test.go b/executor/executor_test.go
index 3c873a09a1cca..f875f805a95a0 100644
--- a/executor/executor_test.go
+++ b/executor/executor_test.go
@@ -1784,7 +1784,8 @@ func (s *testSuite) TestPointGet(c *C) {
 	tk.MustExec("use mysql")
 	ctx := tk.Se.(sessionctx.Context)
 	tests := map[string]bool{
-		"select * from help_topic where name='aaa'":         true,
+		"select 1 from help_topic where name='aaa'":         true,
+		"select * from help_topic where name='aaa'":         false,
 		"select * from help_topic where help_topic_id=1":    true,
 		"select * from help_topic where help_category_id=1": false,
 	}
@@ -2440,7 +2441,7 @@ func (s *testContextOptionSuite) TestCoprocessorPriority(c *C) {
 
 	cli.priority = pb.CommandPri_High
 	tk.MustQuery("select id from t where id = 1")
-	tk.MustQuery("select * from t1 where id = 1")
+	tk.MustQuery("select 1 from t1 where id = 1")
 
 	cli.priority = pb.CommandPri_Normal
 	tk.MustQuery("select count(*) from t")
@@ -2458,7 +2459,7 @@ func (s *testContextOptionSuite) TestCoprocessorPriority(c *C) {
 
 	cli.priority = pb.CommandPri_High
 	tk.MustQuery("select id from t where id = 1")
-	tk.MustQuery("select * from t1 where id = 1")
+	tk.MustQuery("select 1 from t1 where id = 1")
 
 	cli.priority = pb.CommandPri_Low
 	tk.MustQuery("select count(*) from t")