The midfielder, something of a star himself since arriving from Liverpool says he has just got a feeling that Keane will shine after his switch from Leeds.
"I think he's going to be a great star for us, I've really got a good feeling about him," said Jamie.
"We've got good forwards here anyway, but I think he's going to add to the competition.
"He'll give us something different with his skills and I think the crowd are going to love him."
Jamie goes along with the school of thought that Keane will give that little something extra to the team and says that the Lane is the ideal platform.
"Every time I've seen Robbie I've always thought 'what a good little player', he just needs a home now.
"I've got a feeling, similar to me, that things could work out well for him at White Hart Lane."
Jamie Redknapp tips Robbie Keane to be a great star at White Hart Lane when he pulls on a Spurs shirt after the international break.