Kane sustained an ankle ligament problem for the third time in 18 months during Tottenham's 4-1 win at Bournemouth on Sunday.
The England striker is due to receive results of a scan today, but initial assessments indicate that the damage is similar to the injury that caused him to miss ten matches in seven weeks last season.
Harry Kane is set to be on the sidelines until May and could struggle to make the World Cup, according to reports.
He will then miss the semi-finals if they win and four league fixtures after the global break, a potential top four decider against Chelsea and further clashes with Stoke, Manchester City and Brighton.
The 24-year-old tried to play on, but was forced to come off and left the ground on crutches.
With the World Cup in Russian Federation now less than 100 days away, the FA will not want Kane rushed back from his injury by Spurs.
He also sits out England's two friendlies this month against Holland and Italy, with manager Gareth Southgate names his squad for that double-header on Thursday.
Kane's latest injury occurred after a collision with Bournemouth goalkeeper Asmir Begovic in the first half of Spurs' win at the Vitality Stadium.