Southampton produced a brilliant comeback from two goals down in a five-goal thriller to take a big step to all but guarantee their survival.
Chris Wood and Matej Vydra had put Burnley in control with goals inside the first half hour.
But Southampton steadied themselves to peg Burnley back before half time thanks to strikes from Stuart Armstrong and their impressive, fit-again talisman Danny Ings.
And Nathan Redmond had the final say in an entertaining and eventful affair to earn Southampton three points that lifted them up to 13th and 10 points clear of the drop zone with eight games to go.