Kane has been out since New Year's Day with a hamstring injury that required surgery and it had been feared he could miss the remainder of the campaign.
Canaries star Max Aarons has also been linked with the north London outfit, as well as a few other Premier League big guns, at regular intervals and now it appears Spurs are weighing up a move for Lewis.
Tottenham players are now training from home, but Kane can still use the club's Enfield base for rehabilitation work and fitness testing.
But he might face competition from his former employer, as Ole Gunnar Solskjaer is mentioned by the newspaper as another possible option for the player capped 135 times by Uruguay. "In three to four years, I will normally return to the place where I will likely settle down".
"I'm at a good stage, pretty much doing everything, now it's about building up my fitness".
"It's such a unusual situation, no-one has been in this situation before".
It remains to be seen if chairman Daniel Levy will be keen to let him go after just a season, but Barcelona will have to be willing to pay at least the £65 million Spurs spent on him to have a chance of landing their man.
"From a rehab point of view and personal point of view, I'm doing really well", Kane told Tottenham's website. I'm at a good stage now and just working hard, doing a lot of recovery, a lot of rehab and just waiting to see what happens to the season. "My family is well, and obviously everyone is thinking about coronavirus at the moment and it's a time to be together, to stay safe and hopefully everything will be all right".