Burton, fresh off the back of their victory over Millwall, are sitting at the opposite end of the table having lost nine league fixtures before this fixture, and certainly looked the weaker side.
It took just ten minutes for Billy Sharp to be taken down in the box by a panicked Burton.
The goal was the 31-year-old striker's seventh goal of the season.
Sheffield's first-choice keeper Jamal Blackman was back in the mix following his back injury, but wasn't tested much by Burton.
Matt Palmer did equalise for The Brewers at 31 minutes, but the lead was restored pretty quickly when Billy Sharp was afforded too much space in the box and found the back of the net three minutes later.
Leon Clarke took full advantage when he headed the ball home in the 77th minute, with a close range diving header, ensuring the Blades left the game with the three points they needed.
Sheffield United were firmly in control for the game and had several further opportunities to increase their lead.
Temporarily top of the Championship League