The England captain is yet to win a major honour with the North London outfit, and he is reported to have told Spurs that he wants to advance his career elsewhere.
According to the Evening Standard, Kane and Levy came to an agreement over a potential move away from the club last summer when the striker initially tried to force through a transfer.
The report claims that Kane was content to stay on for the 2020-21 season, but Levy would allow him to leave if he felt the same one year down the line, although the Spurs chairman would still be reluctant to let him go for less than £150m.
Kane's 22 Premier League strikes this season sees him sit level with Mohamed Salah in the race for the Golden Boot, and he has struck 220 goals in 334 appearances for Spurs in total. body check tags ::