The Reds, who have already overcome West Ham United, Crystal Palace and Brighton & Hove Albion, last won four in a row at the start of a top-flight season in 1990-91.
Jurgen Klopp named an unchanged side for the 1-0 win over Brighton last time out, but will the German be tempted to rotate things for this final outing before the first international break of the campaign?
Here, Sports Mole looks at how Liverpool could shape up for Saturday's lunchtime kickoff.
Out: Alex Oxlade-Chamberlain, Dejan Lovren
Alisson Becker is out to become the fourth goalkeeper in Premier League history to keep a clean sheet in his first four starts, while in front of him Joe Gomez has fitted in seamlessly alongside Virgil van Dijk in the heart of defence.
Klopp will feel no need to tinker with things at the back, especially with Lovren still not ready to return to the squad, but further forward there are some big decisions to be made.
Georginio Wijnaldum was tipped to leave in the summer following the arrival of Naby Keita and Fabinho, but the Dutchman's form has been so good that the latter has not yet been required in the matchday squad at all.
Keita has proved to be a shrewd acquisition, and James Milner has also not put a foot wrong, though Jordan Henderson is now pushing for a start and Klopp may be tempted to keep things fresh in that area of the pitch.
Barring any injuries, meanwhile, the front three very much picks itself, with Mohamed Salah continuing from where he left off last season by netting two goals in three outings, while alongside him Sadio Mane and Roberto Firmino have also performed well.