Crystal Palace are also just one point better off than eighteenth place Stoke City and face a tough test in Sunday's early kick-off as they welcome Tottenham Hotspur to Selhurst Park.
Moyes' task will be made harder by the injuries and suspensions he is dealing with. Arthur Masuaku remains suspended.
Another concern for the West Hamdefence involves centre-back Winston Reid, who is dealing with a "throat infection", per Alex Young of the London Evening Standard.
The likes of Michail Antonio, Manuel Lanzini, Andy Carroll and Marko Arnautovic have all missed chunks of the campaign with fitness issues.
Attacking midfielder Lanzini, meanwhile, has been absent for the last four matches as the result of a hamstring injury suffered during the 1-1 draw with Bournemouth on 20 January.
Liverpool have no fresh injury worries to deal with so Klopp has virtually a fully-fit squad to choose from with Emre Can set to return from suspension.
Despite his heroics in Portugal, Mane has been the least prolific of Liverpool's current front three, with 12 goals to his name this season compared with 21 for Firmino and 30 for the outstanding Mohamed Salah.
Liverpool are all but through to the quarter-finals of the Champions League after a 5-0 first-leg win at Porto in the last 16, while they are well placed to qualify for next year's competition, sitting third in the Premier League. They will be available for Saturday, as Reds boss Jurgen Klopp can pick from what is close to a full-strength squad.
"Of course, they have proved that they can compete at Anfield in recent years and have done well in the Premier League against Chelsea and Arsenalthis season".