They will need to win that game and will have to be more clinical than they were against PSV, who should have been put to bed long before Kane's late heroics.
Seven of Tottenham's 11 top-flight matches so far have been away from home, and their next one is at Crystal Palace's Selhurst Park.
Jurgen Klopp's side stay second in Group C after Napoli and Paris Saint-Germain played out a 1-1 draw in Naples to leave the entire group separated by only two points going into the final two matchdays.
Both sides are struggling at the bottom of Group B, with just one point on the board at the halfway stage, leaving them five points behind second-place Inter Milan and eight behind Barcelona. "We have been grinding results out here and there all season".
"If we can play with that intensity, move the ball quickly, we'll get some chances and hopefully, we'll take some".
In the Premier League, maybe, but this was Tottenham's first victory in its Champions League group and there was a touch of fortune about it.
PSV, which stayed on one point and can not now qualify for the knockout stage, had defended stoutly after going ahead through Luuk De Jong's header from Gaston Pereiro's corner.
PSV 'keeper Zoet does his best to make a save.
There is one crumb of comfort for the Tottenham manager, as Dele Alli is expected to be fit to feature against the Eredivisie outfit, despite missing the win at Molineux over the weekend.
Striker Kane finally levelled the contest when he fired home after being teed up by substitute Fernando Llorente.
Speaking about his team's performance, he added: "I think that they fight like lions".
"I think was very good, I'm so happy with him".
"We have the character of never giving up which is so important".
Despite only managing a single point from their first three matches, Tottenham Hotspur still have a slim chance of making it into the knockout phase of the Champions League.