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Despite having 84% of possession in the first half and wasting numerous chances, Liverpool conceded a 58th-minute equaliser as Gustavo Hamer's header bounced off Conor Bradley and into his own net.
But Argentina's World Cup-winning Alexis Mac Allister - nominated for March's Premier League Player of the Month award - produced a stunning 20-yard strike which flew into the top corner to put the hosts back in front with 14 minutes left.
Mac Allister nearly grabbed a wonderful second but saw his curling free-kick bounce off the crossbar.
But it did not matter as substitute Cody Gakpo headed in Liverpool's third in the 90th minute to seal the victory.
The result takes the Reds two points clear of Arsenal and three ahead of reigning champions Manchester City, with each side having eight league matches left.
More importantly, it keeps Liverpool's title destiny in their own hands.
They know if they beat Manchester United, Crystal Palace, Fulham, Everton, West Ham, Tottenham, Aston Villa and Wolves, it will secure their second Premier League title and confirm them as top-flight English champions for a 20th time.
More to follow.
Rate players out of 10 throughout or after the game.
The rater will close 30 minutes after the final whistle.
Rating range key1 = Give it up10 = Pure perfection
LiverpoolLiverpoolLiverpoolSheff UtdSheffield UnitedSheffield UnitedLiverpool
Starting XI
AvgSquad number62Player nameKelleherAverage rating
6.61
12345678910Squad number84Player nameBradleyAverage rating
6.53
12345678910Squad number5Player nameKonatéAverage rating
6.40
12345678910Squad number4Player namevan DijkAverage rating
6.69
12345678910Squad number2Player nameGomezAverage rating
6.44
12345678910Squad number8Player nameSzoboszlaiAverage rating
6.52
12345678910Squad number10Player nameMac AllisterAverage rating
7.29
12345678910Squad number38Player nameGravenberchAverage rating
6.20
12345678910Squad number11Player nameMohamed SalahAverage rating
6.50
12345678910Squad number9Player nameNúñezAverage rating
7.10
12345678910Squad number7Player nameDíazAverage rating
6.77
12345678910
Substitutes
AvgSquad number17Player nameJonesAverage rating
6.58
12345678910Squad number18Player nameGakpoAverage rating
6.83
12345678910Squad number19Player nameElliottAverage rating
6.55
12345678910Squad number26Player nameRobertsonAverage rating
6.44
12345678910Sheffield United
Starting XI
Avg
Squad number13Player nameGrbic
Average rating
5.28
12345678910
Squad number30Player nameHolgate
Average rating
5.66
12345678910
Squad number15Player nameAhmedhodzic
Average rating
5.69
12345678910
Squad number19Player nameRobinson
Average rating
5.71
12345678910
Squad number20Player nameBogle
Average rating
5.77
12345678910
Squad number21Player nameVinicius Souza
Average rating
5.72
12345678910
Squad number24Player nameArblaster
Average rating
5.92
12345678910
Squad number8Player nameHamer
Average rating
6.05
12345678910
Squad number5Player nameTrusty
Average rating
5.78
12345678910
Squad number28Player nameMcAtee
Average rating
6.01
12345678910
Squad number11Player nameBrereton
Average rating
6.11
12345678910
Substitutes
Avg
Squad number9Player nameMcBurnie
Average rating
6.19
12345678910
Squad number23Player nameOsborn
Average rating
6.26
12345678910
Squad number25Player nameBen Slimane
Average rating
5.11
12345678910
Squad number32Player nameOsula
Average rating
6.18
12345678910
Squad number35Player nameBrooks
Average rating
5.90
12345678910Line-upsMatch StatsLive TextLine-upsLiverpool
Formation 4-3-3
62Kelleher
84Bradley5Konaté4van Dijk2Gomez
8Szoboszlai10Mac Allister38Gravenberch
11Salah9Núñez7Díaz
62Kelleher84Bradley5Konaté4van Dijk2GomezSubstituted forGakpoat 73'minutes8SzoboszlaiSubstituted forJonesat 73'minutes10Mac Allister38GravenberchSubstituted forRobertsonat 60'minutes11SalahSubstituted forElliottat 60'minutes9Núñez7DíazSubstitutes13Adrián17Jones18Gakpo19Elliott21Tsimikas26Robertson42Clark76Danns78QuansahSheff Utd
Formation 3-5-2
13Grbic
30Holgate15Ahmedhodzic19Robinson
20Bogle21de Souza Costa24Arblaster8Hamer5Trusty
28McAtee11Brereton
13Grbic30HolgateSubstituted forBen Slimaneat 87'minutes15Ahmedhodzic19Robinson20Bogle21de Souza Costa24Arblaster8HamerSubstituted forOsbornat 62'minutes5TrustySubstituted forBrooksat 78'minutes28McAteeSubstituted forMcBurnieat 63'minutesBooked at 87mins11BreretonSubstituted forOsulaat 63'minutesSubstitutes9McBurnie16Norwood18Foderingham23Osborn25Ben Slimane27Larouci29Curtis32Osula35BrooksReferee:Stuart AttwellLive TextPost update
Match ends, Liverpool 3, Sheffield United 1.
Full Time
Second Half ends, Liverpool 3, Sheffield United 1.
Harvey Elliott (Liverpool) wins a free kick in the defensive half.
Foul by Ben Osborn (Sheffield United).
Attempt missed.
Conceded by Jayden Bogle.
Curtis Jones (Liverpool) wins a free kick in the defensive half.
Foul by Anis Ben Slimane (Sheffield United).
Attempt missed.
Cody Gakpo (Liverpool) header from the centre of the box misses to the right.
Anis Ben Slimane replaces Mason Holgate.
Oliver McBurnie (Sheffield United) is shown the yellow card for a bad foul.
Ibrahima Konaté (Liverpool) wins a free kick in the defensive half.
Foul by Oliver McBurnie (Sheffield United).
Attempt missed.
Alexis Mac Allister (Liverpool) right footed shot from outside the box is blocked.
Hand ball by Ben Osborn (Sheffield United).
Corner, Liverpool
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