The England captain played on after staying down and receiving treatment in the centre circle after appearing to roll his right ankle during the early stages of the high-profile fixture at Tottenham Hotspur Stadium.
Kane later received further treatment to the area and battled on until half-time, when he was replaced by Erik Lamela.
Jose Mourinho will provide an update after the full-time whistle on whether the issue is anything serious or if the 27-year-old’s withdrawal was merely precautionary.
Kane does have a notable history of ankle problems, while he has been sidelined by injury issues at a similar stage in each of the last two seasons.
Last year, Kane ruptured a tendon in his left hamstring during a New Year’s Day meeting with Southampton and was sidelined for months before returning when football resumed in June after the coronavirus-enforced shutdown.
The season before, he suffered an ankle injury against Manchester United and was expected to be ruled out until March before returning to action ahead of schedule five weeks later.
Tottenham are already without the likes of Sergio Reguilon, Giovani Lo Celso and Dele Alli at present and face London rivals Chelsea – now managed by Thomas Tuchel – in the Premier League next Thursday (February 4).
Before that is a visit to Brighton in the top-flight on Sunday, while fixtures against leaders Manchester City and in-form West Ham also await next month as well as the FA Cup fifth-round tie against Everton and two-legged Europa League last-32 meeting with Wolfsberger AC of Austria.