A number of reports had suggested the Dutchman will be out of action from anywhere between four to six weeks, but the manager says that is simply "wrong information"
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."