Kane, who has scored 165 league goals, says breaking Shearer’s long standing record in the Premier League is his ambition.
The former Blackburn Rovers and Newcastle striker scored 260 goals between 1992 and 2005, making him the all-time scorer since the competition started in August 1992.
Kane has been tipped to leave Spurs this summer after he reportedly told club chairman Daniel Levy about his intention to discontinue playing for the North Londoners.
Clubs like Paris Saint-Germain, Real Madrid, Chelsea, and both Manchester City and Manchester United are all said to be interested in signing the 27-year-old, but Kane says a potential transfer out of the Premier League is not in the picture as he intends to stay home and chase down Shearer’s record.
The Englishman said: "I guess injuries would be the biggest thing [in stopping me getting the record], obviously I’ve had injuries, ankle injuries and I haven’t had anything that’s kept me out for months and months touch wood but I guess for me I think injuries would be the biggest thing stopping me.
"Of course there’s always the option of maybe moving abroad one day but I don’t think that really interests me in the near future.
"Injuries I guess in my mind would be the only things but I feel like I’ve got a good seven or eight years at the top when you look at the Messis, Ronaldos … your Ibrahimovics, all kind of getting better as they reach their early 30s.
"I’m still 27 so I’ve still got hopefully a long way to go so yeah it’s definitely there, I’m still obviously quite a way off but I like to think consistently I’ve scored 20-plus in my injury-free seasons in the Premier League so if I can do that for the next four or five years then it’ll be there.
"I'd be lying if I said I didn’t [want the Premier League record], I think if I get to the end and I haven’t broke that record and the Wayne Rooney England record then I’d probably be a little disappointed in myself to be honest but it’s definitely there if I carry on doing what I’ve been doing so I guess it’ll just be a great sign of consistency over many years.
"I mean Shearer’s record is incredible when you think about it, 260 goals. I guess it’s just that little bit of motivation there just to push me and hopefully go beyond that."