Kane is likely to be out until March after damaging left ankle ligaments against Manchester United at Wembley on January 13, but has gone to the United States to recover.
He said: "I can not tell you if he is ahead of schedule or not".
Real Betis have been linked with an interest in the forward and there are also suggestions that Burnley and Cardiff City are considering taking him away from Tottenham on deadline day.
"He is showing on social media that he looks very strong and very fit, running and doing some exercises". I am just trying to stay as positive as possible.
Sixers trade Markelle Fultz to Orlando Magic
They traded Jonathan Simmons and two draft picks for him. "There's a real possibility he's played his last game with the 76ers". The 20-year-old has been out indefinitely since November 19 while rehabbing from thoracic outlet syndrome.
"We will see next week how we go, start to get the balls out and just see how the ankle reacts".
'I think it is so important for him to feel so important. Mauricio Pochettino was beginning to stare an injury crisis in the face before the timely return of Son to the side following the South Korean international's involvement in the Asian Cup.
Kane is joined on the sidelines by another high-profile injury victim Dele Alli and they, along with Ben Davies, will miss Saturday's visit of Newcastle.
According to the Evening Standard, the club are awaiting the results of the latest tests regarding the grounds' wiring and critical safety systems, and should the latest checks highlight further problems, more tests would be scheduled for late February, meaning the delay would likely push back the opening of the ground until April.