The striker, 27, recently returned from injury but his side's concerning form has persisted, with just two wins and a seriously worrying six losses coming in Tottenham Hotspur's last eight games.
In that time, Jose Mourinho's men have also only picked up seven points - all against the bottom three - and Kane's goals have been needed in each one.
Now with Sean Dyche's perennial strugglers up next, Spurs will be praying for their skipper to score again and lift them from their rut, as Kane faces an opponent he enjoys encountering.
Planet Sport takes a look at his five best performances against the Clarets.
Kane has faced Burnley 11 times down the years, 10 times for Tottenham and once for loan side Millwall.
In those contests, he's bagged eight goals and three assists, therefore averaging a direct goal contribution every outing.
In addition to individual form, the England captain boasts seven victories, three draws and just one defeat from his meetings with the Lancashire outfit, giving him a win rate of over 63%.
He'll be hoping to repeat his heroics down the years when he and his side welcome the Clarets to North London.
Burnley 0-3 Tottenham Hotspur
December 23, 2017
We begin with a perfect 10 performance from the number 10, who netted his seventh hat-trick of 2017 at Turf Moor in this clash.
An early penalty was one of the soon to be England captain's eight shots, with two more of them being well taken goals in a 10-minute second-half spell to give his side a comfortable victory and his fans an early Christmas present.
Kane's three strikes moved him level with Alan Shearer for the record of Premier League goals scored in a calendar year, 36, before scoring yet another trio against Shearer's old team, Southampton, on Boxing Day to lead the way in the history books.
Spurs' main marksman's goals against the Clarets were accompanied by three dribbles and four aerial duels won, making this a festive performance to remember.
Tottenham Hotspur 5-0 Burnley
December 7, 2019
Another 10/10 according to whoscored.com now, and Kane continued his joys against Dyche and co with two strikes and an assist the last time Tottenham hosted Burnley.
His delightful efforts in the fifth and 54th minute helped Spurs on their way, although Heung-min Son stole the show with his Puskas award-winning goal.
Kane was at the epicentre, though, setting up Moussa Sissoko to make it five in Mourinho's second home fixture at the stunning new Tottenham Hotspur stadium.
The emphatic three points would only help them to a sixth-place finish, as Kane suffered an injury-hit season but still managed 24 goals in all competitions.
Tottenham Hotspur 2-1 Burnley
December 20, 2014
During his breakout campaign, one of the young sensation's 21 Premier League goals came against the Clarets in this purple-patched affair.
The future World Cup Golden Boot winner struck after 21 minutes, but six later, Ashley Barnes equalised.
Erik Lamela regained the Lilywhites' advantage on the 35-minute mark prior to a goalless remainder of the game.
Kane led the encounter for shots with seven and no player on the pitch beat his three dribbles.
The 2014/15 season was just the beginning of what Mauricio Pochettino would go on to achieve at the club as they finished fifth, while newly-promoted Burnley were sent straight back down to the Championship.
Burnley 0-1 Tottenham Hotspur
October 26, 2020
To this season's reverse fixture now and although he didn't get on the scoresheet, Kane linked up with Son for one of their 13 goal combinations this campaign.
Kickstarting a run of four successive wins, the then-top-spot challengers ground out a result in Lancashire, in no small part to their talisman's brilliance.
Having cleared James Tarkowski's header off the line in the second half, the striker superbly set his South Korean partner in crime up to head home the only goal of the game from a corner in the 76th minute.
Results have picked up for Dyche's men since, who were enduring a difficult start to the season at that time.
Burnley 2-1 Tottenham Hotspur
February 23, 2019
Goals against Burnley aren't rare for Kane but defeats certainly are, and both occurred in this Turf Moor clash just over two years ago.
After going behind in the 57th minute, Tottenham quickly replied through their captain but were beaten when Barnes capitalised on a sleeping back line.
Kane and co had the lion's share of opportunities but failed to make more of them count.
Pochettino erupted at the referee after the final whistle, despite Mike Dean letting his side's goal stand in controversial fashion during a damning defeat.
Although nowhere near the dramatically tight title race between Liverpool and Manchester City that term, '18/19 represented a memorable campaign for the England skipper, as Spurs reached the Champions League final.
Tip of the Fixture
Kane to kick off the scoring in a 3-0 win is priced at 29/1 on paddypower.com, as Tottenham look for a resounding result to help get them back on track.
(Odds correct at time of writing, subject to change).