Keane joined Celtic on loan for the remainder of the season on transfer deadline day in January but Spurs' assistant boss Jordan is predicting that the Republic of Ireland international's future will be at White Hart Lane.
"Without a doubt Keane will return, he's the captain," Jordan told the Sunday Herald.
"Harry Redknapp brought him back here and he was a major player in getting us out of trouble last season, not just on the pitch, but in the dressing room as well.
"He was an influential guy, he's a leader, and there's not many of them going about. It wasn't just the player, it was the person we wanted."