All Whites striker Chris Wood scored twice as Burnley virtually assured Premier League safety with a 2-0 win over fellow strugglers Cardiff City on Sunday (NZ time).
Cardiff, occupying the final relegation slot in 18th place, are on 28 points, five behind 17th-placed Brighton with five games remaining while Burnley sits14th on 39 points.
Wood put the Clarets in front in the 31st minute with a fine header from a Dwight McNeil corner.
Cardiff were furious when referee Mike Dean reversed a decision to award a penalty for handball by Ben Mee after consulting with his assistant.
Wood then scored his second in stoppage time when he headed home from close range after a winding run from winger McNeil.
Chris Wood has now scored 10 Premier League goals this season, equalling his tally from the 2017/18 campaign.
The win means Burnley could be mathematically safe before their next game at Chelsea on Easter Monday, but manager Sean Dyche was wary of assuming survival was now guaranteed.
"I don't think you talk about that because you want it factually. You can't guarantee it, but I think we're in a very, very healthy position," he said.
Warnock's side now play Brighton, who suffered a 5-0 thrashing at home to Bournemouth, on Tuesday in a match which looks like the last chance for them to find a path away from the drop.
Meanwhile, Lucas Moura has scored a hat-trick as Tottenham Hotspur moved back into third place thanks to a 4-0 home win over relegated bottom side Huddersfield.
Victor Wanyama got the other to put Spurs one point above Chelsea, boosting their hopes of securing a European Champions League spot.
Spurs were without the injured Harry Kane and Dele Alli while manager Mauricio Pochettino left Toby Alderweireld, Danny Rose and Son Heung-min on the bench.
But it made little difference as Moura's treble put them back above Chelsea into third.
Wanyama rounded goalkeeper Ben Hamer to put Spurs in front on 24 minutes before Moura hammered in the second three minutes later.
The Brazilian got his second three minutes from time and completed his hat-trick in injury time to become the first man to score three in their new stadium.
Elsewhere, Manchester United beat West Ham 2-1 to go fifth, two points off the top four.
Paul Pogba scored two penalties as United edged out West Ham 2-1 to go fifth, netting in the 19th and 80th minutes.
Brighton are still not safe after they were hammered at home by Bournemouth in a humiliating day.
Dan Gosling, Ryan Fraser, David Brooks, Callum Wilson and Junior Stanislas scored the goals for Bournemouth, with three of the goals coming after Anthony Knockaert was sent off in the 68th minute.
Brighton and Cardiff will meet in an increasingly crucial clash on Wednesday (NZ time).
Nathan Redmond scored twice, and Shane Long got the vital third as Southampton pulled eight points clear of the relegation zone with a 3-1 win over Wolves.
Fulham, already relegated to the Championship, won for the first time under caretaker manager Scott Parker, beating Everton 2-0 thanks to Tom Cairney and Ryan Babel.