The clubs are only separated by two points in the Premier League table, with Sheffield United occupying seventh on 47 points while Burnley lie 10th on 45 points after 32 matches.
The defensive resilience of Sean Dyche's men paid dividends once again as Burnley kept their second clean sheet in a row with a hard-fought 1-0 win at Crystal Palace on Monday.
The ever-present Ben Mee - so often at the forefront of Burnley's efforts to preserve a slender lead - scored his first Premier League goal since January 2017 at Selhurst Park as Dyche's men kept the race for the European places very much alive.
Following on from a 5-0 drubbing at recently-dethroned 2018-19 champions Manchester City, Burnley have recorded victories by a solitary goal against Watford and Palace since the restart, and the Clarets have only tasted defeat once in their last eight league outings.
Dyche's men are also unbeaten in their last five league matches at home, having taken points off Arsenal and Tottenham Hotspur before play was called to a halt, and Burnley can leapfrog the North London pair with a win this weekend should Arsenal and Spurs lose to Wolverhampton Wanderers and Everton respectively.
On an individual level, Nick Pope will be aiming to keep his 14th clean sheet of the season as he leads the way in the battle for the Premier League Golden Glove, with the Englishman having recorded one more shut-out than Alisson and Ederson as things stand.
Meanwhile, Sheffield United also demonstrated exactly why they are among the Premier League's European chasers as they enjoyed an impressive 3-1 victory over fellow top-four rivals Tottenham on Thursday.
It would not be a Premier League game without a touch of VAR controversy, however, with Harry Kane seeing his equaliser ruled out due to a Lucas Moura handball after Sander Berge had broken the deadlock for Sheffield.
Nevertheless, the Blades stuck to the task at hand as further strikes from Lys Mousset and Oli McBurnie allowed Chris Wilder's men to leapfrog Spurs and enter gameweek 33 in seventh - five points adrift of fifth-placed Manchester United.
In doing so, the Blades also managed to end a four-game winless run in all competitions since the restart, and with a challenging set of fixtures against Wolverhampton Wanderers, Chelsea, Leicester City and Everton still to come, it was imperative that Wilder's men regained their confidence after a lacklustre opening to Project Restart.
The Blades will now endeavour to score their first goal on the road in the top flight since February, and Sheffield United have only managed to pick up one league win from their last seven away from home - potentially a cause for concern for Wilder as he looks to bring European football to the Bramall Lane faithful.
Burnley Premier League form: WDDLWW
Sheffield United Premier League form: DWDLLW
Sheffield United form (all competitions): WDLLLW
Burnley's injury problems at the moment are well-documented, but Jay Rodriguez may be back in time for the visit of Sheffield to provide a much-needed boost for Dyche.
Jack Cork was forced off in the win against Palace, but the midfielder's injury is not thought to be too serious and he should make the cut for Sunday.
Sheffield United are facing several injury problems of their own, with Lundstram and Fleck - the match-winners during the visit of Burnley at Bramall Lane earlier in the campaign - both on the treatment table.
Jack O'Connell is nearing a return to action but may not be risked by Wilder, and Mousset should have done enough to earn a spot in the starting lineup following his goal against Spurs.
Burnley possible starting lineup:
Pope; Bardsley, Tarkowski, Mee, Taylor; Brownhill, Westwood, Cork, McNeil; Vydra, Rodriguez
Sheffield United possible starting lineup:
Henderson; Egan, Basham, Robinson; Baldock, Berge, Norwood, Osborn, Stevens; McBurnie, Mousset
We say: Burnley 1-0 Sheffield United
Both Burnley and Sheffield United are dealing with depleted squads at the minute, but the two sides have shown all throughout the season that they are capable of grinding out results no matter the circumstances.
However, given Sheffield's underwhelming away form and Burnley's strong recent home results, we are backing Dyche's side to take the spoils and overtake their fellow European hopefuls this Sunday.