Billy Sharp scored just two minutes into the game at Elland Road before Matt Phillips equalized in the 33rd minute. The game appeared to be headed for a draw until David Brooks calmly finished past Whites goalkeeper Andy Lonergan to give the Blades all three points.
Wolves fall at Loftus Road to slip to second
In London, Conor Washington sent the hosts into the lead in the 41st minute only to see Leo Bonatini blast Diego Jota's cross to draw the hosts level two minutes later.
QPR secured the win when substitute Matt Smith scored his fourth goal of the season to consign Wolves second, a point behind Sheffield United. The Hoops are in 14th after snapping a seven match winless run.
Cardiff City remained in third after a goalless draw at Millwall while Bristol City moved up to fourth after Milan Djuric's 73rd minute winner saw the Robins claim a 2-1 win over Sunderland, leaving the Black Cats second from bottom.
Forest into the top half after thriller at Hull
The game of the weekend was at the KC Stadium as Kieran Dowell recorded a hat-trick to lead Nottingham Forest past Hull City 3-2. His goals in the 29th and 71st minutes were countered by Jarred Bowen's 76th minute curler.
After a converted penalty made it 3-1 in the 83rd minute, Michael Hector brought the Tigers to within a goal again, but it proved too little, too late. Elsewhere, Aston Villa and Birmingham City played out a 0-0 draw and Derby County moved into seventh following Sam Winnall's winner, securing the Rams third consecutive win 2-1 at Norwich City.
Brewers continue to struggle
Burton Albion remained in the drop zone following a 2-1 loss to Ipswich Town. Ben Turner's 57th-minute header gave Burton the lead only to see Martyn Waghorn equalized nine minutes later and Bersant Celina's brilliant free-kick late on gave Mick McCarthy's side the win.
Middlesbrough coasted to a 2-0 win at Reading as Grant Leadbitter opening the scoring from the penalty spot on 14 minutes. Britt Assombalonga drew the foul that lead to Boro's opener and added a second to send the Royals into 20th.
At Hillsborough, Harvey Barnes cancelled out Adam Reach's goal as Sheffield Wednesday drew 1-1 with Barnsley in the South Yorkshire derby. Tom Cairney's dramatic last-minute goal rescued a point for Fulham against bottom side Bolton Wanderers.
Finally, Brentford claimed an exciting 3-2 win over Preston North End. Nico Yennaris saw his header cancelled out by Sean Maguire and Tom Barkhuizen equalised for a second time after Romaine Sawyers put Brentford 2-1 ahead, but the Bees were not to be denied and Ollie Watkins grabbed the winner on 69 minutes.