"I am concerned. Until tomorrow or after tomorrow he make the scan we can not say nothing more", said Pochettino.
"We need to wait because we will scan his ankle".
The England worldwide is due to have a scan tomorrow to determine the full extent of the injury so Tottenham will be praying for positive news when the results come back.
Pochettino confirmed that Danny Rose was replaced with "fatigue and a knock" but said the left-back, who was at fault for Bournemouth's goal with Aurier, was not injured, while he said Alli was also worn out and would be monitored during the week.
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Heung-Min Son continued his fine run of form with a brace in the second half to give Spurs the lead before Serge Aurier netted in the final moments of the game. I hope it is not a massive problem.
Son Heung-min was the star of the show, as the South Korea global attacker scored twice for the visiting team.
Bournemouth started at a breakneck pace and only a lack of composure by Stanislas prevented them from taking the lead inside four minutes.
The loss of England global Kane, Tottenham's top scorer, who went off with an ankle injury on the half-hour, took some of the gloss off a hard-won comeback victory with the visitors slightly flattered by two late goals.
Pochettino added: "I think he's having a fantastic season - the best season he's had since he arrived". With 35 goals from 39 appearances this season, Kane's significance is indisputable.
"We have had a disappointing period and our supporters suffered like we suffered", said Wenger after another sparse crowd at the Emirates. "The most important thing is to win and so it was defeats that were more frustrating".