Carrick says that he has been impressed by the Spurs striker’s form and has backed him to keep on improving at White Hart Lane.
"The progress Harry Kane has made has been sensational, he's gone up two or three levels. His performances keep improving,” he told reporters.
"What has impressed me the most is that as the spotlight has increased on him, his performances have only improved and improved. That's a good sign.
"I'm sure that shows that this season is not a one off - I think he's got a big future ahead of him."
Carrick, meanwhile, is enjoying being recalled to the England squad and says he is happy to be back in the international fold.
"It's great to be back with England. We've had a good week at Manchester United and when things are going well you just want to keep playing games,” he added.
"Credit to the manager and staff here for putting a run together after the World Cup. We have real positive feelings around the squad.
"I am enjoying my football. You get to a certain age and you don't know how long you have left. I feel great at the moment and have certainly got another year in me. It is special to be involved [in the England team].
"I love seeing the younger lads coming into the squad and performing with an enthusiasm and energy. There is a good feeling around."