The striker has started just one game in all competitions since scoring the winner against former side Arsenal on November 10.
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Goal exclusively revealed on Thursday that Van Persie was closing in on a return to the first team within 10 days after working one-on-one with PSV fitness coach Arno Philips in his native Netherlands.
Speaking ahead of United's 2-0 win over Swansea, Moyes confirmed the striker's work with Philips, who he has also worked with following previously injuries.
"We're trying to get Robin back. He's got a thigh strain similar to the one he had at Arsenal [during the 2007-08 season].
"He never had an injury all last season. He took a corner against Shakhtar and felt his thigh so it was a freak thing really and not [aggravating] an injury he'd had before.
"It's a different injury. We have to manage it correctly and he's been to Holland to see a guy he works with there.
"So we're doing everything we can to give him the right treatment and get him back as soon as we possibly can. But I don't want to put a date on his return."