Spurs have insisted in the past that Kane would not be available for any price this summer, but according to Sky Sports, the Englishman has expressed his desire to move on during a face-to-face meeting with club chairman Daniel Levy.
Manchester United, Manchester City, and Chelsea have been linked with a move for the 27-year-old, but it remains to be seen if any club can match the £150million price tag slapped on Kane by Tottenham.
Speaking after being named the Premier League player of the year at the London Football Awards, Kane said: "Individual awards are great, they are fantastic achievements. When I look back at the end of my career, I will go over it and take in a little bit more.
"The goal right now as a player is to win team trophies. As much as this [award] is great, I want to be winning the biggest prizes that there is to offer as a team and we are not quite doing that. It is one of those [situations], it is bittersweet. I would rather be winning team trophies and this award. It is what it is. I am proud to win it. It means it has been a good season on the pitch, so I have just got to try and continue what I am doing.”
With 22 goals and 13 assists, only Bayern Munich's Robert Lewandowski (40) and Lionel Messi (39) have more goal involvements than Kane in Europe's top five leagues in this season.