Diogo Jota’s second half header secured a 2-1 win for Liverpool over struggling Sheffield United at Anfield on Saturday.
But the English Premier League (EPL) champions were made to dig deep for the points.
Sheffield United, still looking for their first win of the season, went ahead in the 13th minute. Midfielder Sander Berge netted from the penalty kick spot. He could have even increased their lead.
But forward Roberto Firmino levelled in the 41st minute for Liverpoool with a tap-in. Jota then rose to thump home a header in the 64th minute, shortly after Liverpool had a goal ruled out by VAR.
It was not convincing by Liverpool but they held on to move joint top with Everton on 13 points; although their Merseyside rivals play against Southampton on Sunday.
Sheffield United more than matched Liverpool in spells throughout the game. Also, substitute Oliver Burke wasted a good opportunity in stoppage time.
They remain second from bottom with one point from their opening six games.
Meanwhile, Moise Kean scored his first goals for Paris St-Germain (PSG) on Saturday as the French champions recovered from their UEFA Champions League defeat by Manchester United.
PSG thus moved top of the Ligue 1 standings with a 4-0 home victory against lowly Dijon.
Italy forward Kean, who joined the capital side on loan from Everton during the close season; found the back of the net in the first half. Kylian Mbappe then came off the bench also to score a double to put PSG on 18 points from eight games.
Dijon won at the at the Parc des Princes last year. However, they were never close this time as they stayed bottom of the table on two points.
Lille, who are second on 17 points, will reclaim top spot if they beat Nice away on Sunday.