The 24-year old player was injured in a collision with home keeper Asmir Begovic, jabbing the ball into the net for a goal that was later ruled as offside.
Kane left the field & went straight down the tunnel.
Spurs will be meeting Swansea on Saturday in the FA Cup, with England playing 2 friendly matches the following week.
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Kane suffered an injury to the same right ankle on 12 March 2017 in Spurs’ FA Cup victory over Millwall, which is coincidentally almost a year ago.
At that time he missed out on football action for 4 weeks.
Kane also missed 7 games after twisting the same ankle earlier that season.