Campbell has not been forgiven by Spurs fans for departing the club for the Gunners in 2001.
"I'm sure he will get some grief. It is no good me sitting here and saying that he won't," Redknapp said.
"They (the fans) pay their money and they are going to do what they want to do, aren't they? I just hope they don't do anything silly or shout anything silly.
"Sure, if they want to jeer him or whatever, that is fine. But we saw trouble before at Portsmouth with people making remarks that aren't right. You do not want that.
"He will get on with the game. He has been through it all before and he is experienced enough now.
"It has been a long-running saga but they have got the hump with him here and they are not going to forgive him."