It's still not mathematically sewn up but it would take some effort from Everton to deny the Clarets European football next season.
Dyche - fantastic achievement if we get into Europe
Brighton boss slams ‘shameful’ Burnley fans
A 0-0 draw against Brighton and Hove Albion at Turf Moor, the second goalless stalemate between the sides this term, means the Toffees can now only match Burnley's points tally while needing a 15-goal swing to go in their favour.
Burnley were the better team in the first half and boss Sean Dyche would have been scratching his head as to how they didn't go in to the break with the lead.
Ashley Barnes did everything but score against his former club as he looked to take his Premier League tally in to double figures for the campaign.
The striker couldn't quite connect with Ashley Westwood's cross in the first instance with the ball sailing beyond Chris Wood, who had gambled at the back post.
The Seagulls, despite carrying attacking threats in Anthony Knockaert, Jose Izquierdo and Pascal Gross, offered very little in the final third in the first half, though skipper Bruno should have done better when volleying his German team mate's corner wide.
The home side couldn't quite believe their misfortune midway through the half when a combination of Brighton goalkeeper Mat Ryan and the woodwork prevented Burnley getting the opener.
Ryan blocked from Barnes and Jack Cork from close range after Bruno had inadvertently turned Johann Berg Gudmundsson's set-piece towards his own goal.
James Tarkowski kept the ball alive with a tremendously improvised back heel and when the ball travelled through to Kevin Long at the far post there seemed only one outcome.
However, with the goal gaping, and centre back Shane Duffy scrambling desperately towards the Republic of Ireland international, he steered his effort against the post.
Barnes found himself in acres of space inside the penalty area when meeting Matt Lowton's cross at the near post but Ryan was well-positioned to save again.
Gudmundsson had another chance to break the deadlock before the break, standing over a set-piece central to goal after Dale Stephens had tripped Barnes, but, just as Jack Butland had done at the Britannia Stadium previously, Ryan beat the ball to safety after the Icelandic international had beaten the wall.
The home side were a shadow of themselves in the second half, with the game having a real end of season feel to it, and it was the Seagulls who looked the more likely to snatch the points.
Nick Pope, who had a quiet afternoon in goal, saved well down at his post to deny Gross after the winger had cut back on to his right boot to get a shot away.
Sam Vokes has been somewhat of an impact substitute in recent weeks after scoring with his first touch against Watford at Vicarage Road earlier in the month.
The Welshman, who nearly did the same against Chelsea when heading in to the arms of Thibaut Courtois, almost converted Gudmundsson's corner just seconds after his introduction against the Seagulls.
Victory would have made next weekend's trip to the Emirates that bit more interesting, with Arsenal up against Manchester United at Old Trafford on Sunday, but Burnley couldn't find the breakthrough.