Rojo has spent part of this season on-loan with Estudiantes, having returned home to Argentina in January.
Estudiantes are open to extending his stay, though OM want to bring the defender back to Europe for next season.
Argentine radio journalist Luis Fregossi has reported OM have made an offer for Rojo in recent days.
Earlier this week, United manager Ole Gunnar Solskjaer hinted Rojo's time with the club was over: "Marcos has been in lockdown over there [in La Plata], so they've not played either.
"At the moment, I can't see him coming back here over the summer, obviously because we live in this bubble, and we've got this squad available until next season.
"So he just needs to focus on getting fit and staying fit and being ready for wherever that takes him."
Need a VPN? Or seeking to switch? Then support Tribal Football by clicking here to sign up with our official partners NordVPN. Not only will you receive the best VPN experience, but also great discounts by signing up via Tribal Football. Thanks for your support!