The injury is to the same ankle that Kane injured in that Sunderland match, which kept him out for almost two months.
Harry Kane is likely to return to action before the end of the season after Tottenham confirmed the striker's ankle injury is not as severe as first feared.
Tottenham won their FA Cup Quarter-final match against Millwall on Sunday by a whopping 6-0 decision - but without Kane, they'll have to look for other options in order to yield more strong results as they head into their March 19th game against Southampton.
The England global lasted less than 10 minutes in the FA Cup match against Millwall, twisting his ankle after a tackle from Jake Cooper.
Spurs said the injury is similar to the one Kane picked up against Sunderland on September 18.
Spurs play Arsenal again in just under seven weeks from now - exactly 49 days after Sunday's win over Millwall - so Kane should be fit for that if his injury is indeed less severe than last time.
"Harry will continue to be assessed by out medical staff while he undergoes his rehabilitation at our training centre".
Kane is set to miss England's friendly against Germany and World Cup qualifier against Lithuania later this month, as well as a handful of Tottenham fixtures.
It is an understatement to say that Kane has been an important player for Mauricio Pochettino's side this season.