Pascal Struijk headed an injury-time equaliser to keep alive Leeds' hopes of Premier League survival after a frenetic home draw with Brighton.
Jesse Marsch's side toiled at a raucous Elland Road but looked to be edging nearer to relegation after Danny Welbeck coolly finished to give Brighton a deserved first-half lead.
But the home support defiantly roared Leeds on and Brighton keeper Robert Sanchez brilliantly denied Mateusz Klich in each half, while also turning away a Raphinha free-kick as pressure built.
Leeds striker Joe Gelhardt had gone close himself but his persistence was rewarded at the death when he bundled space in the area to lift a ball across goal, where substitute Struijk nodded home before diving into home supporters in celebration.
It means Leeds move a point above the bottom three with one game remaining, while Burnley drop to 18th but have two games to play and a substantially better goal difference.
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