The Clarets play the day before Chris Wilder’s side, giving them the chance to move up to second with a win in South Wales.
Scott Parker’s men come into the game off the back of a 1-1 draw against West Brom on Tuesday night, while the Blades were also held by Bristol City.
Leeds United, meanwhile, strengthened their hold at the top with a 2-0 win against Millwall.
Burnley face a Swansea side that sit 16th in the Championship table and were beaten 1-0 by Watford in midweek.
Both sides have some injury concerns to contend with heading into Saturday’s encounter, so here's an early look at the team news for both outfits:
9. Aaron Ramsey (Burnley) - out
Making good progress in his recovery from a serious knee injury, which he suffered back in February of last year. But not quite ready just yet. Photo: Matt McNulty
10. Jonjo Shelvey (Burnley) - out
The midfielder picked up a serious injury during the recent FA Cup defeat to Preston and is likely to miss the rest of the season. Photo: Kelvin Lister-Stuttard
11. Mike Tresor (Burnley) - out
Despite making a recent return during the FA Cup tie against Reading, Tresor is not fit to play and is unlikely to be available for the foreseeable future. Photo: Lewis Storey