The Hammers have taken four points from their last two games to move six points clear of the relegation zone.
At a press conference, the 54-year-old told reporters: "He's back in training, we got him back at the start of the week so we will keep monitoring him".
Not to mention that Antonio Conte is likely to depart this summer, and there's no guarantee that our new manager will persevere with a three-at-the-back system and field wing-backs.
"We will see how he is". Obviously he has not trained for 11 weeks and I have got that in my mind as well. "The quicker we get him back the better".
Perhaps our interest in a player that can play as a wing-back is the most concrete evidence we have so far that Conte could stay at Stamford Bridge beyond this season.
"You know the responsibility is huge. we're fighting for a lot of people, and we don't want to let them down". Will he be ready?
Defender James Collins and midfielder Manuel Lanzini are also close to returning, having been out injured since the global break last month. The pair both trained with the first team on Friday and could be available on Monday night.
The Potters have lost their last seven Premier League visits to London, conceding 26 goals while scoring just five in reply.
A Marko Arnautovic-inspired Hammers triumphed 3-0 at the Potters in December and another similar result on Monday would not go amiss.
"It was a great point at Chelsea", said Moyes. 'We have played Marko and Javier in games together where it has not been so good and others it has been good.
"They are around us and have struggled as well this season, but they have found a bit of momentum in the last couple of games so they will be confident".