Kane is preparing for tomorrow's friendly against Italy after coming off the bench to net in last Friday's 4-0 Euro 2016 qualifying win over Lithuania at Wembley.
It was the 21-year-old's 30th goal in all competitions this term, and Redknapp doesn't expect his form to drop anytime soon.
"I'm sure he will keep being successful because he loves football. He lives for football," said former Spurs and QPR boss.
GETTY
Harry Kane scored 79 seconds into his England debut
Harry Kane's dedicated and he wants to be a top player - he's got a great chance
Harry Redknapp
"He puts the time in on the training ground, he's dedicated and he wants to be a top player. So he's got a great chance.
"So many of them come in, get contracts and think they have made it then, but Harry's not like that. He's well grounded, has a good family behind him.
"I don't see any reason that his career shouldn't continue to go onwards and upwards."
We use your sign-up to provide content in ways you've consented to and to improve our understanding of you. This may include adverts from us and 3rd parties based on our understanding. You can unsubscribe at any time. Read our Privacy Policy
