Victories against Liverpool and Aston Villa have lifted the Clarets nine points above the relegation zone and into 15th.
Below Sean Dyche’s men sit Newcastle United, Brighton & Hove Albion, Fulham, West Brom and Sheffield United.
We’ve checked out the latest Premier League relegation odds with the bookmakers to see how they’re rating Burnley’s chance of remaining in the division.
Scroll and click through our gallery to see how the bookies view the current relegation picture:
5. Aston Villa - 250/1
Dean Smith's side stayed up on the final day of last season, but that almost certainly won't be required this time around. Villa are seven points away from beating that points total with still 20 games remaining. Photo: Clive Brunskill
6. Leeds United - 40/1
It's hard to envisage Leeds going down this season, although Whites fans wouldn't be mistaken for feeling a tad pessimistic! Marcelo Bielsa's men are 13 points above the bottom three. Photo: STU FORSTER
7. Wolverhampton Wanderers - 33/1
Wolves' struggles have taken many by surprise this season after such a good Europa League campaign in 2019/20. It's currently seven league games without a win for Nuno Espirito Santo's men. Photo: RICHARD HEATHCOTE
8. Crystal Palace - 10/1
Palace are always a Wilfried Zaha away from danger but there's no need to panic yet with Roy Hodgson's men 10 points above the drop zone. Photo: JUSTIN SETTERFIELD