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:
9. Burnley - 15/2
Back-to-back wins for Burnley against Liverpool and Aston Villa have steered the club to nine points above the relegation places. Photo: MOLLY DARLINGTON
10. Brighton & Hove Albion - 5/1
All three of Brighton's wins have come away from home this season, with no win in 10 games at home. Wednesday's 0-0 draw with Fulham helped Graham Potter's men maintain a five-point gap. Photo: Pool
11. Newcastle United - 5/4
The team to catch? That's the mood on Tyneside anyhow with supporters urging Steve Bruce to resign following a brutal run of 11 games without a win. Photo: Alex Pantling
12. Fulham - 8/11
Although Fulham have shown signs of revival this month, they've struggled to turn draws into wins. The most positive thing for Scott Parker is his side have one game in-hand over most of their relegation rivals as they sit five points adrift. Photo: Pool