Kane matched Shearer's record of 36 Premier League goals in a calendar year with a hat-trick in Tottenham's 3-0 victory over Burnley on Saturday.
The 24-year-old has the chance to set a new benchmark in Tottenham's hosting of Southampton on Boxing Day – Spurs' final match of 2017 – and Shearer is adamant he will be surpassed by the England forward.
"He'll do it, he'll do it. He is obsessed with scoring goals," Shearer – who set the record in 1995 during his time with Blackburn Rovers – told BBC's Match of the Day.
"The hunger to get on the ball and put the ball in the back of the net, he's full of confidence and everything about him is class. He is brilliant.
"I remember saying a few years ago, we were covering an FA Cup tie, then he was worth £90 million. Now, it's more than double that."
Kane leads the Premier League in scoring, alongside Liverpool's Mohamed Salah, with 15 goals this season.