The Reds play their third of eight games in December as they welcome their city rivals to Anfield, looking for their fourth consecutive win.
But Lallana was a welcome presence among Klopp’s training squad as the German finalises preparations for a crucial home game.
The midfielder joined a strong squad at Melwood, with the Sky Sports cameras watching on, having played just one minute of football so far this season.
Whether he will be considered for Sunday remains to be seen, with Klopp taking a cautious approach to his recovery following a thigh injury, but he may make the bench for the second time.
However, after his goalscoring heroics against Spartak in midweek, Coutinho was not spotted as Klopp oversaw training alongside assistants Peter Krawietz and Zeljko Buvac.
It could be that the Brazilian is merely being rested for a further day, but he has already suffered two different injury problems this season.
It could be that Klopp opts to rotate his squad for the fifth consecutive game, but securing a result against a resurgent Everton is essential.
Liverpool Squad at Melwood on Friday
Goalkeepers: Mignolet, Karius, Ward, Grabara, Bogdan
Defenders: Lovren, Klavan, Gomez, Alexander-Arnold, Robertson, Flanagan
Midfielders: Henderson, Can, Wijnaldum, Lallana, Milner, Oxlade-Chamberlain, Grujic, Woodburn
Forwards: Firmino, Mane, Salah, Sturridge, Solanke, Ings, Markovic