Spurs thrashed Stoke 4-0 last weekend to go second in the table, with Kane's hat-trick drawing him level with Lukaku at the top of the goal rankings with 17 strikes apiece.
Mauricio Pochettino's side may need a miracle to win the title with Chelsea 10 points ahead of them with 12 games remaining, but Spurs fans will remain optimistic as their fixture list thins out following their Europa League exit.
Everton may prove tough opponents with Lukaku leading the line for the seventh-placed Toffeees, but Spurs are riding the crest of a wave of optimism as supporters say goodbye to the Lane before the stadium is redeveloped.
Scroll down for Standard Sport's comprehensive preview....
Tottenham host Everton at London Stadium with kick-off scheduled for 1:30pm on Sunday, March 5.
The match will be televised live on Sky Sports 1. Alternatively, you can follow all the build-up and action from 12:30pm with Standard Sport’s London Football live blog. Enter your email address below to be informed when coverage begins.
Can’t see the blog? Click here to view our desktop site.
Toby Alderweireld (groin) remains a doubt for the Sunday clash after being taken off against Stoke.
The Belgian was withdrawn early in the second half, with Mauricio Pochettino confirming at full-time it was a precautionary measure.
Jan Vertonghen (hamstring) also went off but is available, along with Harry Kane who clattered against a post during the 4-0 win.
Danny Rose remains out, with Pochettino estimating "a number of weeks", while Erik Lamela
Everton have experimented with a 3-4-2-1 set-up similar to Tottenham's this season, and both teams could deploy the same formation at White Hart Lane if, as Pochettino hopes, Vertonghen and Alderweireld are passed fit.
Danny Rose remains sidelined with a knee injury, with Pochettino estimating "a number of weeks" when questioned on Friday, while Erik Lamela is still out with a hip problem with no return date given.
Everton have no fresh injury concerns for the trip to north London, with Lukaku expected to lead the line.
Tottenham starting XI: Lloris; Dier, Vertonghen, Alderweireld; Walker, Dembele, Wanyama, Davies; Eriksen, Alli; Kane
Everton starting XI: Robles, Coleman, Williams, Funes Mori, Baines, Davies, Schneiderlin, Gueye, Barkley, Lukaku, Lookman
BETTING ODDS (via 888 Sport)
- Spurs to win: 10/17
- Everton to win: 24/5
- Draw: 31/10
Click here to place a bet.
Odds correct as of March 3 at 2pm.