Kane, 23, suffered ligament damage to his ankle in Spurs’ 1-0 win over Sunderland a week ago, and was initially expected to miss between 8-10 weeks.
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Pochettino was speaking ahead of Spurs’ UEFA Champions League match against CSKA Moscow on Tuesday, and issued this update.
“I always try to be honest with you. Just half an hour ago we received the report about the scan and it’s much, much better than we expected. Maybe we can reduce the time (that he is out) but we are happy, the scan was very positive, we are very happy about this news but still we cannot give a time for how long his recovery will be. … I am not a doctor, it’s difficult to say how long but it’s true that it’s much, much, much better than what we expected and that is very positive.”
Spurs are second in the Premier League after Saturday’s 2-1 win at Middlesbrough. Vincent Janssen remains the favorite to get minutes at target striker.