Liverpool 2-1 Sheffield United
The Reds found themselves behind early in the first half as Sander Berge put the visitors ahead following a dubious penalty call by VAR.
It was a frantic opening to the game as both sides look to press high and impose their game on the other.
A quick free-kick by Trent Alexander-Arnold inside his own half nearly caught Ramsdale off his line, but the Blades goalkeeper managed to tip the ball away to safety.
The Reds were dealt a blow in the 13th minute as what appeared to initially be a clean tackle by Fabinho on Olivier McBurnie was surprisingly adjudged to be a penalty by VAR, with replays showing the challenge to be marginally outside the box.
Nonetheless, Sander Berge stepped up to dispatch the spot-kick past Alisson as he put the visitors 1-0 up against the run of play.
The Reds struggled to respond as Chris Wilder's side looked likelier of the two sides to score the second of the game. Ben Osborn went close with a rifling shot from the left, but Alisson was up to the task.
An excellent lofted pass by Alexander-Arnold played Mohamed Salah through, but the Egyptian couldn't convert from a tight angle.
Liverpool kept more of the ball as the half wore on and they eventually made their dominance count. Sadio Mane got on the end of Jordan Henderson's excellent cross, with his powerful header being palmed into the path of Roberto Firmino to tuck the ball home from close range and make it 1-1.
The Reds came close to making it two after the break as Alexander-Arnold's corner was cleared to the feet of Salah but the 28-year-old couldn't keep his curling effort under the bar.
Salah thought he'd made it 2-1 after exquisitely controlling the ball and finishing from close range, but VAR was involved again to chalk the goal off for offside in the buildup.
But it didn't take long for the Reds to go ahead as Mane's pinpoint cross was met by Jota, who finished with an excellent header into the back of the net.
David McGoldrick came off the bench to nearly level for the visitors with a powerful strike, but the Irishman couldn't keep his effort below the crossbar.
Liverpool dug deep and managed to keep Sheffield United at the bay in the final minutes as they sealed all three points after failing to win in their last two league games.
LFC Globe's MOTM: Joe Gomez
Next Fixture: FC Midtjylland (H) - 27 Oct, 8pm