The trio all missed the midweek FA Cup quarter-final replay victory over Sunderland for a variety of reasons and Moyes is once again preparing for Saturday’s match in the Premier League without them.
Rodwell is still being dogged by the hamstring problem which has restricted him to just two appearances for the Toffees in 2012, and Coleman is undergoing treatment on thigh strain.
Drenthe meanwhile, is understood to have been given time away from the club by Moyes on compassionate grounds.
He told reporters: “I think the squad is looking pretty much as it was before the Sunderland game. I don’t think either Jack Rodwell or Seamus Coleman will make it and Drenthe probably won’t either.”
The Blues can at least welcome back Steven Pienaar for the visit of the Baggies after the South African was cup-tied for the Black Cats clash.
Moyes added: “I always say that when Everton are near full-strength we have selection dilemmas.
“I had some decisions to make on Tuesday night and I will again on Saturday. You can’t always get them right but we try our best and we will hope to get them right again at the weekend.”
Tottenham face a battle to keep hold of Danny Rose and Toby Alderweireld, who are both on Manchester United's radar this summer.
Roma could face a battle to keep hold of midfielder Lorenzo Pellegrini in the summer as a host of clubs show an interest.
Samuel Umtiti says he is very happy with Barcelona and has played down talk of switching to a rival club in the summer.
Tottenham duo Danny Rose and Toby Alderweireld are on the wanted list of Manchester United, who are planning a £200million spree.
Crystal Palace are reported to be showing an interest in Everton winger Ademola Lookman in case they need to replace Wilfried Zaha.
Antonio Conte refused to say whether Chelsea's defeat to Tottenham vindicates his frustrations over the club's transfer policy.