Scholes last figured for United in October but could be in the squad for the cup tie at Old Trafford a week on Sunday if all goes well.
Assistant manager Carlos Queiroz said: "Paul might be back on Thursday if he gets the all clear from the medical staff.
"We are very pleased with the situation and maybe he can play in the FA Cup. It is a possibility he could be on the bench.
"I think he can start to smell he is coming back to the team."
Scholes has been involved up to now in light training and Queiroz said: "He has been like an 18-year-old boy with his attitude.
"It would be fantastic to have someone like him back in the squad."