Initially Harry considered trying to run it off, but after consulting with the Spurs physio eventually walked down the tunnel.
Pochettino says that it is now a case of waiting for the England worldwide to undergo a scan on Monday before finding out the extent of his latest layoff.
"We are concerned because still we can't know what will happen to him", Pochettino told reporters.
They went in front just after the hour mark when Son benefited from a borderline offside call to claim his 17th goal of the season. "I don't believe he will be a big problem".
The injury raises concerns that Kane could miss the final few weeks of Spurs season while also putting his participation in the summer's World Cup in doubt.
A double from the impressive Son Heung-min plus goals from Alli and Serge Aurier stretched the north Londoners' unbeaten league record to 12 matches after Junior Stanislas had given the hosts an early lead.
"After Wednesday, it was a massive challenge, the opponent is waiting for you, but the team showed great personality and character, and we fully deserved the victory".
Time Change: Daylight Saving Time Weekend Is Here
If approved, Florida would be making the opposite move those states and territories that have opted to stay on Standard Time made. Otherwise, abandoning daylight-saving time would effectively put SC in a different time zone between March and November.
However, even shorn of their 35-goal striker, Spurs bounced back from a bitterly disappointing Champions League exit to Juventus in midweek.
With Spurs 1-0 down at the time, many associated with the club could have been forgiven for fearing the worst for the game.
"But I think it is good news because, for us, that we don't play Premier League at the weekend because we're still in the FA Cup, we are still alive in a different competition".
Bournemouth, who remain 12th, though they had rescued a point via Callum Wilson's 84th-minute strike but referee Mike Dean disallowed it for a shove on Spurs defender Davinson Sanchez, before the visitors scored their two late goals.
"I'm so happy for them, because we needed this, and so happy for the fans".