It was in the away meeting with Southampton on New Year's Day that the accident occurred for the 26-year-old striker, who in the 0-1 loss suffered a rupture in the back thigh.
Besides Kane now looking to miss most of the remaining Premier League rounds this spring, Tottenham will also be able to manage without his big star for the Champions League eighth against Emil Forsberg's Leipzig in February and March.
This is the second heavy injury case for Tottenham in a short period of time. Midfielder Moussa Sissoko also injured himself seriously against Southampton and is also expected to be gone until April.
Spurs have had a poor season so far and are in sixth place in the Premier League. The club will take on Liverpool's superior league manager on Saturday in the next round of the English football league.