The Hammers face already relegated West Brom on Wednesday before hosting Southampton at the London Stadium to end the season on Sunday, knowing that two wins will at least see them qualify for the Europa Conference League and any slip up from those above will bring a bigger prize.
"Champions League would have been the biggest achievement [of my career] but European football will be a good achievement," said Moyes. "I set high standards for myself and the players.
"I think if we made European football it would be worthy of celebration. You are always trying to get more and push up the league. We might enjoy a couple of beers if we make Europe after Sunday's game."
Said Benrahma has improved of late and came off the bench to score his first goal for the club at Brighton on Saturday - and he comes in for Jarrod Bowen out wide.
With game season coming down to the wire, Moyes will want to see Lingard back at his best after a few quiet performances by the Manchester United loanee's high standards.
West Ham XI: Fabianski, Coufal, Dawson, Ogbonna, Cresswell, Soucek, Rice, Benrahma, Lingard, Fornals, Antonio
Subs: Balbuena, Yarmolenko, Noble, Bowen, Diop, Fredericks, Johnson, Randolph, Odubeko
Wednesday 8.15pm, Sky Sports
Venue: The Hawthorns
Referee: Michael Oliver
West Ham squad from: Fabianski, Martin, Randolph, Trott, Diop, Dawson, Ogbonna, Alves, Balbuena, Coufal, Fredericks, Johnson, Cresswell, Noble, Rice, Coventry, Soucek, Fornals, Lingard, Yarmolenko, Benrahma, Bowen, Odubeko, Antonio
Injury list: Masuaku (knee), Lanzini (hip)