But victory may have come at a price as Iliman Ndiaye, their star man this season who opened the scoring, limped off with injury in the second half.
Jayden Bogle scored twice for the Blades, either side of Nick Powell’s consolation for the hosts – as United made harder work than they perhaps needed to of adding another three points to their tally.
Here’s how we rated the Blades players...
9. Sander Berge 5
Had a very quiet game for a player of his stature but almost came alive with a good driving run into the box - before he lost composure at the vital moment and blazed high over the bar on his left foot Photo: Lexy Ilsley
10. James McAtee 6
Watched Ndiaye produce some fancy feet in the channel and rose to the occasion with a nice trick to beat his man before curling towards the top corner, watching it fly just over. Showed the other side of his game with a crunching tackle he may have jumped out of a few months earlier before making way for Doyle Photo: Lexy Ilsley
11. Iliman Ndiaye 7
Got the Blades up and running with his 10th goal of the season after some clever movement saw him create a yard of space to get on the end of Lowe's cross. But sparked huge injury concern for the Blades after going down for treatment and then making way for Jebbison Photo: Andrew Yates
12. Billy Sharp 6
Worked tirelessly for the cause as ever but was feeding off scraps in terms of chances as he and Ndiaye didn't quite click into gear as much as we've seen in recent weeks. Made way in the second half for Osborn Photo: Lexy Ilsley