Their top goalscorer from the previous two seasons has not featured since sustaining a serious head injury against Arsenal in late November, with his return likely to be sensibly put on hold until next season.
Daniel Podence has joined Jimenez, Pedro Neto and Jonny on the sidelines until next season, too, after suffering another muscle injury.
Neto and Jonny recently underwent successful surgeries on their serious knee injuries, meanwhile, with both hoping to return as quickly as possible at the start of next season.
Given the quick turnaround between fixtures and the lack of importance attached to Wolves' final two matches, manager Nuno Espirito Santo may make several changes for the trip to Merseyside.
Max Kilman, Willy Boly, Rayan Ait-Nouri, Ruben Neves and Willian Jose will all be hoping to be restored to the starting XI, with Nuno perhaps reverting to his preferred back five system after looking defensively wide open during Sunday's 2-0 defeat to Tottenham Hotspur.
Youngster Owen Otasowie is likely to miss out once again, though, due to a minor knock.
Wolves possible starting lineup: Patricio; Boly, Coady, Kilman; Semedo, Neves, Dendoncker, Ait-Nouri; Traore, Vitinha, Gibbs-White; Jose