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Mignolet has recovered from a swollen ankle and Lallana, who has made only one appearance this term after suffering a thigh injury in pre-season, should be ready to return.
Joe Gomez, James Milner and Andrew Robertson are expected to be fit after knocks.
Daniel Sturridge (hamstring) remains a doubt, and Alberto Moreno (ankle), Joel Matip (adductor) and Nathaniel Clyne (back) are still unavailable.
Liverpool midfielder Emre Can serves a one-match suspension.
Meanwhile, Bournemouth have a decision to make up front.
Liverpool’s likely line-up to face Bournemouth away
Liverpool FC
The Cherries have scored just once in their last three Premier League games and boss Eddie Howe must find the right combination from Josh King, Callum Wilson, Jermain Defoe and Benik Afobe.
Brad Smith (hip), Adam Federici and Tyrone Mings (both back) are out, with Steve Cook and Harry Arter one caution away from suspension.
Bournemouth provisional Squad: Begovic, S Cook, Francis, Ake, Daniels, Surman, L Cook, Fraser, Stanislas, Defoe, King, Boruc, B Smith, Simpson, Gosling, Arter, Afobe, Ibe, Wilson, A Smith
Liverpool provisional squad: Mignolet, Alexander-Arnold, Lovren, Klavan, Robertson, Henderson, Wijnaldum, Coutinho, Salah, Firmino, Mane, Karius, Gomez, Milner, Oxlade-Chamberlain, Lallana, Solanke, Ings, Sturridge.