Asked if he still expected to relocate before the end of the season, he said: "My gut feeling (is that) it will be tough but I hope and I wish to be in the new stadium".
And Tottenham boss Pochettino admitted in his Friday press conference that it could prove tough to move into the new stadium before season's end. "Not for Sunday or Wednesday, but we will see after".
Heung-Min Son has stepped up in Kane's absence, scoring in both of his games since returning from the Asian Cup while Fernando Llorente has also played his part with two goals and two assists in five appearances.
The Lilywhites now find themselves five points behind second-placed Liverpool FC as they look to try and keep themselves in the title race.
He said: "When Spurs lost to Wolves at Wembley over Christmas, I did think that was their title chance gone, as you just can't lose that many games and still be in the hunt".
"You need a minimum 72 hours, but we will have less and how you prepare in these 48 hours with the players that were involved, it's almost impossible".
Tottenham announced on Thursday that their north London derby against Arsenal on March 2 would be played at Wembley as the finishing touches are applied to their 62,000-seater home.
They will then return to Premier League action with a trip to Burnley on 23 February. "We met by coincidence with (Beckham and Zidane) and that is all there is to it", Pochettino said when quizzed over the incident. It's been good because we can work and at the same time, we can breathe a little.
"But again sometimes the people that go and express their opinion, is they need to have all the info because sometimes when the decision is one or another, sometimes we need to manage many things that people need to be aware of".