Rose is one of the best left-backs in the Premier League, and the former Leeds United prospect would be a very good signing for Chelsea, who are one of the biggest clubs in England and in Europe and will be aiming to win the Champions League this season.
However, with the 2017-18 Premier League campaign having already started and the defender injured at the moment, it is hard to see Spurs sell him this summer.
The former Spurs star has predicted Spurs to clinch the championship ahead of Manchester City, Manchester United and Chelsea.
“I know Spurs haven't signed anybody yet but I think there is plenty of time to get in what they need,” Waddle told BBC Sport. “The squad they have already got came very close last year, and they proved they could beat the big teams when they had to.
“The only thing that can set in now is complacency, but I don't think that will happen with the manager they have got - Mauricio Pochettino is a very talented manager, and I don't think he is frightened to fire the bullets if he needs to.”