Neil Warnock's Blades surged into an automatic promotion spot after goals from Paul Peschisolido and Nick Montgomery handed them a 2-0 victory over Walsall at Bramall Lane.
Peschisolido, making his first start in eight games, struck in the 41st minute, with midfielder Montgomery, killing off the Midlands side 11 minutes later as United bounced back from Saturday's 3-2 defeat at Turf Moor.
Keeper Alan Fettis, brought in to replace Lee Baxter after his disastrous debut at Turf Moor on Saturday, foiled the Midlands side in the opening minutes after Walsall threatened an early shock.
Steve Corica produced a stinging shot fisted away by Fettis, on loan from Hull, and midfielder Gary Birch steamed in to hammer the loose ball high over the top.
Peter Ndlovu squandered a half chance pulling a close range header wide as Neil Warnock's promotion favourites probed for an opening. Centre back Phil Jagielka almost got the breakthrough in the 18th minute connecting with Michael Tonge's precise corner, his downward header snatched on the line by Jimmy Walker.
Walsall full-back Darren Bazeley blundered seven minutes later as he cut out a Rob Kozluk cross, the ball cannoned off his knee and Walker dived to his left to keep it out before Bazeley cleared.
Kozluk almost found the net with a low shot pushed away by the Walsall keeper before Darren Wrack got the wrong side of Kozluk only to pull the ball wide of the far post from just inside the box.
Canadian international Peschisolido was inches away, stabbing the ball wide of the target after a goalmouth scramble, moments before he grabbed the opener four minutes before the interval.
Walker failed to hang onto Alan Wright's free-kick and Peschisolido pounced to lash the ball in from eight yards for his fourth of the season.
Midfielder Tonge set up United's second in the 52nd minute running onto a Jack Lester pass before slipping the ball to Montgomery who produced an angled drive from 12 yards, his second goal in successive games.