Despite falling behind on the hour mark, two goals in ten minutes from Billy Sharp and Jayden Bogle handed the Blades the win in the Midlands.
The victory leaves Paul Heckingbottom’s side in 10th place – only three points off a play-off spot.
However, they now face a tough test against West Brom, who have just appointed ex-United boss Steve Bruce as their new manager.
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However, they now face a tough test against West Brom, who have just appointed ex-United boss Steve Bruce as their new manager.