Rose, 21, burst onto the scene with a spectacular strike in Spurs' north London derby victory over Arsenal in April 2010, and went on to play 17 times on loan at Bristol City last season before featuring at left-back for Harry Redknapp's team in the final four games of the season.
Walker, also 21, impressed during loan spells with npower Championship winners QPR and Aston Villa last term, making a total of 38 appearances.
Another player who looks set to stay at White Hart Lane is Benoit Assou-Ekotto.
Quizzed about a possible summer switch to Paris St Germain, the 27-year-old Cameroon full-back told Sky Sports News: "I don't want to move to another club.
"If I have a good feeling with my chairman I will stay.
"I don't have a reason to move, even to play in the Champions League. We can do it with Spurs.
"We have done it once already, so why not again?"
Source: PA
Source: PA