Armando Broja is on course to make his Everton comeback next month.
Broja has not featured since suffering ankle ligament damage as a substitute in the closing stages of January’s FA Cup third round win over Peterborough.
The Albania international was forecast to miss between 10 and 12 weeks with Moyes refusing to rule out the possibility of a return to parent club Chelsea.
But Broja was among those involved in the Blues’ warm-weather training camp in the United Arab Emirates as he closes in on a return to action.
And Moyes has confirmed the loanee forward will be back in contention at the start of April but did not discount an early involvement for West Ham’s visit.
“He’s training, he’s joined in a little bit,” said the Everton manager.
“He’s not fully right yet. I would say that after the international break would probably be the right time [for him to return].
“There’s an outside chance that maybe he could be fit for next week. But at the moment I can only follow the medical team.
“If I was guessing, I’d probably say it looks more likely after the international break.”
Moyes also revealed that captain Seamus Coleman is another on the cusp of a return, having been ruled out since December’s draw with Manchester City.
He added: “Seamus is much nearer. Whether he’s ready to be involved [at Wolves] I’m not quite sure yet.
“He’s training and we’re obviously trying not to get him re-injured so we’re giving him every opportunity to ensure he’s fine.”