diff --git a/tests/migrate_test.go b/tests/migrate_test.go
index 96b1d0e4c..9df626fd2 100644
--- a/tests/migrate_test.go
+++ b/tests/migrate_test.go
@@ -11,7 +11,6 @@ import (
 	"time"
 
 	"gorm.io/driver/postgres"
-
 	"gorm.io/gorm"
 	"gorm.io/gorm/logger"
 	"gorm.io/gorm/schema"
@@ -29,7 +28,7 @@ func TestMigrate(t *testing.T) {
 	}
 
 	if err := DB.AutoMigrate(allModels...); err != nil {
-		t.Fatalf("Failed to auto migrate, but got error %v", err)
+		t.Fatalf("Failed to auto migrate, got error %v", err)
 	}
 
 	if tables, err := DB.Migrator().GetTables(); err != nil {
@@ -757,6 +756,32 @@ func TestPrimarykeyID(t *testing.T) {
 	}
 }
 
+func TestCurrentTimestamp(t *testing.T) {
+	if DB.Dialector.Name() != "mysql" {
+		return
+	}
+	type CurrentTimestampTest struct {
+		ID     string     `gorm:"primary_key"`
+		TimeAt *time.Time `gorm:"type:datetime;not null;default:CURRENT_TIMESTAMP;unique"`
+	}
+	var err error
+	err = DB.Migrator().DropTable(&CurrentTimestampTest{})
+	if err != nil {
+		t.Errorf("DropTable err:%v", err)
+	}
+	err = DB.AutoMigrate(&CurrentTimestampTest{})
+	if err != nil {
+		t.Fatalf("AutoMigrate err:%v", err)
+	}
+
+	err = DB.AutoMigrate(&CurrentTimestampTest{})
+	if err != nil {
+		t.Fatalf("AutoMigrate err:%v", err)
+	}
+	AssertEqual(t, true, DB.Migrator().HasIndex(&CurrentTimestampTest{}, "time_at"))
+	AssertEqual(t, false, DB.Migrator().HasIndex(&CurrentTimestampTest{}, "time_at_2"))
+}
+
 func TestUniqueColumn(t *testing.T) {
 	if DB.Dialector.Name() != "mysql" {
 		return
@@ -1097,6 +1122,50 @@ func TestMigrateArrayTypeModel(t *testing.T) {
 	AssertEqual(t, "integer[]", ct.DatabaseTypeName())
 }
 
+type mockMigrator struct {
+	gorm.Migrator
+}
+
+func (mm mockMigrator) AlterColumn(dst interface{}, field string) error {
+	err := mm.Migrator.AlterColumn(dst, field)
+	if err != nil {
+		return err
+	}
+	return fmt.Errorf("trigger alter column error, field: %s", field)
+}
+
+func TestMigrateDonotAlterColumn(t *testing.T) {
+	var wrapMockMigrator = func(m gorm.Migrator) mockMigrator {
+		return mockMigrator{
+			Migrator: m,
+		}
+	}
+	m := DB.Migrator()
+	mockM := wrapMockMigrator(m)
+
+	type NotTriggerUpdate struct {
+		ID  uint
+		F1  uint16
+		F2  uint32
+		F3  int
+		F4  int64
+		F5  string
+		F6  float32
+		F7  float64
+		F8  time.Time
+		F9  bool
+		F10 []byte
+	}
+
+	var err error
+	err = mockM.DropTable(&NotTriggerUpdate{})
+	AssertEqual(t, err, nil)
+	err = mockM.AutoMigrate(&NotTriggerUpdate{})
+	AssertEqual(t, err, nil)
+	err = mockM.AutoMigrate(&NotTriggerUpdate{})
+	AssertEqual(t, err, nil)
+}
+
 func TestMigrateSameEmbeddedFieldName(t *testing.T) {
 	type UserStat struct {
 		GroundDestroyCount int