4-0 home win over West Ham United in their league opener, before the 24-year-old was left out of the squad for the 2-0 win at Crystal Palace and Saturday's 1-0 victory over Brighton and Hove Albion.
The England manager is a fan of former Charlton trainee Gomez who can play at right-back or in the centre of defence where he partnered Virgil van Dijk in Saturday's win against Brighton.
Fabinho faces competition from Jordan Henderson, James Milner, Adam Lallana, Naby Keita and Georginio Wijnaldum to seal a regular starting role in Liverpool's engine room.
Only Roberto Firmino is yet to open his account for the new campaign but the Brazilian has been busy in the attacking third and provided a couple of assists.
An attempted comeback a month later lasted two games for Liverpool, when it was decided he should undergo surgery at the expense of going to Russian Federation. Speaking after the Brighton win, the German said there's still room for improvement from his players.
They registered impressive passing and crossing figures and were pretty crucial in handing the Reds all three points from this game.
The Premier League then stops for the worldwide break so it looks like the earliest we'll see Lovren in action is Liverpool's trip to Tottenham on September 15th. "One-nil is not a result we've had very often since I was in but I am very happy because it was the best we could get today".
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But after being met with initial resistance, Liverpool then went ahead.
"When you concede a goal like that, the disappointment can spread through the team and that can show, but I don't think it showed".
Apparently he can launch a ball over 50 metres - which is nearly half a full-sized pitch - and uses video analysis to teach players how best to use throw-ins to their advantage.