The England Under-19 international had made just three appearances for the Canaries when he hobbled out of a Capital One Cup tie against Doncaster in September with what turned out to be a serious foot injury.
However, Kane is now stepping up his rehabilitation back after returning from treatment with parent club, and Hughton hopes the frontman could be available ahead of the Boxing Day visit of Chelsea, which is swiftly followed by a home clash with champions Manchester City.
"Harry has completed about five days training in total, four of them with Tottenham. He is at the stage now where he has to keep developing his fitness," Hughton told a press conference.
"We have to determine over this next week or so when he is available for games. I think he has done a lot of good rehab, but is good news for us.
"I feel for the lad because he came here with a real spring in his step.
"The good thing is he is young and the type of injury he had, he will make a full recovery from, possibly for Christmas, but it is too soon to assess yet. He needs a week's training."