Walker and Alli have been chosen to join the England squad for the Euro qualification.
The team will meet Malta on Saturday in their first game without their former coach Sam Allardyce.
Walker said: "I can remember when I got the Young Player of the Year, to follow it on the next season makes you a very good player or a very average player.
"He's doing it tremendously well. From a young age, the weight on his shoulders, he deals with it in his stride".
He added: "I always say he looks like he's playing in the park. It's fantastic to see someone just playing football with a smile on their face and enjoying every moment of it.
Furthermore he said about his team-mate: "He can express himself a little bit more, but I think he just needs to keep it simple sometimes, which the manager does tell him too.
"When he does express himself in the final third you can't have a go at players for doing that, because more times than not it does come off. We do get a lot of goals from that," said Walker.
Let's see how they will do on Saturday.