Soucek could even feature against Arsenal on Saturday.
"We're getting much closer to a full squad," said Moyes. "Tomas Soucek's doing very well and he's just about match-fit, very close to it now, so he's recovered very quickly. Yarmolenko's back training, so we're very close to getting everybody back fit.
"Andriy's not available this weekend, he's only just started training, but Tomas has got a very good chance [of featuring]."