The 33-year-old club captain, who has not played since the 2-0 win at Newcastle United on January 2, trained with Ole Gunnar Solskjaer's first team on Wednesday.
The veteran defender has only managed five Premier League appearances this term, with Ashley Young and Diogo Dalot pushing him down the squad pecking order.
The former Wigan Athletic man is expected to leave United at the end of the season, with the club thought to have chosen not to take up the option to extend his contract.
Marcus Rashford also took part in Wednesday's session, after managing 65 minutes of the 1-1 draw with Chelsea last Sunday due to a shoulder problem.
United realistically need to beat Huddersfield and Cardiff to stand a chance of finishing in the Premier League's top four.
The draw with Chelsea leaves them three points behind Maurizio Sarri's side, who sit fourth, while they also have a worse goal difference.
Solskjaer's men have lost seven of their last ten outings across all competitions and must get back to winning ways if they are to have any chance of qualifying for next season's Champions League.