Sean Dyche’s men will be looking to bounce back from a controversial 1-0 defeat at Leeds at the weekend.
Meanwhile, the Blades were beaten by Everton in their last outing after a late winner from Gylfi Sigurdsson.
Chris Wilder's side are bottom of the table and yet to win a league game this season, while the Clarets are two points above the drop zone with a game in hand.
Oliver Burke (back) and Oli McBurnie (shoulder) are doubts for United, while Jon Lundstram is suspended.
Burnley: Pope, Lowton, Tarkowski, Mee, Taylor, Brady, Brownhill, Westwood, Pieters, Wood, Barnes
Sheffield United: Ramsdale, Baldock, Basham, Egan, Robinson, Stevens, Ampadu, McGoldrick, Osborn, McBurnie, Brewster
The Clarets have lost just one of the last eight meetings between the sides in all competitions
Burnley and United are the joint-lowest scorers in the Premier League this season with just eight league goals
If they fail to win, Wilder's men will equal a club record of 19 top-flight matches without a victory
Burnley knocked the Blades out of this season’s Carabao Cup on penalties after a 1-1 draw at Turf Moor.
The visitors went ahead after just four minutes when David McGoldrick slotted home from close range.
After the break, Vydra got the Clarets back on level terms with a clinical finish from Jay Rodriguez’s knock-down.
Brady scored the decisive spot-kick after Nick Pope had saved from McBurnie.
How to watch
Tuesday’s game is live on Amazon Prime Video (KO 6pm).