Spurs flew out for the first leg of their Europa Conference League play-off on Wednesday morning but the 28-year-old was not part of the group, it has been reported.
Kane only joined in first-team training on Tuesday after a period of self-isolation last week following his late return from holiday.
He was not involved in Tottenham’s win over Manchester City on Sunday as he was not deemed fit enough.
Kane was named in the 25-man squad for the two-legged play-off, which raised prospects of him travelling to Portugal for Thursday’s first leg.
However, the PA news agency reports he has remained in London and will continue to work on his fitness with a view to being involved against Wolves on Sunday.
Spurs boss Nuno Espirito Santo will face the media at 6pm ahead of the game.