The England global was absent from training on Friday however and while manager Mauricio Pochettino feels the issue is not serious, the club will decide tomorrow if he is able to return.
Kane is aiming to become the first player in Premier League history to score three consecutive hat tricks after finishing 2017 with trebles against Burnley and Southampton, but missed training on Friday.
Mauricio Pochettino confirmed the news at his press conference: 'He's cold, like me. He is at home and not feeling good. "I would modestly say no", Wenger admitted, when asked about Kane's remarkable feat on Wednesday.
"I think Alan Shearer knows better than me, because he's English and knows the mentality of the country", said Pochettino.
Kane has even outscored the likes of Lionel Messi and Cristiano Ronaldo during what has been a spectacular 2017, reigniting suggestions that Real Madrid may come in for a mega-money bid.
Saints lose to Buccaneers, win NFC South anyway
Defensive end Ryan Russell got the first sack of Saints' quarterback Drew Brees during the Saints' first drive of the second half. The Bucs connected on a 42-yard field goal on their next drive to cut New Orleans lead to 24-23 with 4:31 left on the clock.
He said: 'We want him here so there is no current price. We can talk about many things, but at the end it's talk for talk, because it's impossible to put a price on him.
'But that is for Daniel Levy, not me. We've always treated him like a superstar.
"From day one when he started to play at Tottenham, no young player has achieved as much".
Meanwhile, Toby Alderweireld is not expected to return from a hamstring injury until February, but the defender continues to step up his recovery.
Fifth-placed Spurs have been able to welcome Victor Wanyama back to first-team training, however.