The England international has been out with a thigh injury and was expected to be out for a month.
But United boss Sir Alex Ferguson has confirmed that Rio is well ahead of schedule.
“Rio has been in training this week and has a got a chance for Saturday,” United boss Ferguson said.
“I’m not sure how big a chance but he has got a chance.
“I don’t know if there is any injuries with the players coming back from games but I think the England players are all right.”