Spurs return to the Champions League this week.
Redknapp told the London Evening Standard: "They've got an outstanding manager and I don't see why they can't have a real good run in the Champions League.
"He'll be looking forward to it - I don't think anything fazes him. He's got a lovely manner with him and I'm a big fan of his.
"They'll fire on both cylinders. They'll give it everything they've got in both competitions."