When Kane was injured twice with the same problem last season, he missed seven weeks from September, then just over three weeks from March.
That would give him a limited amount of time to get match fit in time for the World Cup in Russian Federation with very few fixtures before the end of the season.
Given the delay for a diagnosis, it looks highly unlikely that the 35-goal striker will be fit for Spurs' FA Cup quarter-final at Swansea on Saturday, while his involvement in next week's global break also looks doubtful with England set to face Holland and Italy in friendlies.
GETTYHarry Kane clutches his injured ankle away at Bournemouth
In terms of his club campaign, Kane is set to miss an FA Cup quarter-final against Swansea City, as well as league matches against Chelsea, Stoke City, leaders Manchester City and Brighton & Hove Albion.
But, depending on their FA Cup progress and the dates fixtures get rearranged for, he could have two bonus opportunities to build up his fitness ahead of the World Cup.
The injury comes at a crucial time in the run-in, with Spurs looking to secure a top four finish, and their first trophy under Mauricio Pochettino in the FA Cup.
Both Tottenham and England will be wary of Kane's previous history of ankle injuries.
England will face Tunisia, Belgium and Panama in the World Cup group stage in Russian Federation.More news: Trump Expected to Fire Another Cabinet Secretary