The pair were important in United’s impressive start to the Premier League season.
Young has been out with a toe injury that he sustained in training ahead of the clash with Everton at Goodison Park at the end of last month.
Young has been back in training and is expected to feature against Swansea at the Liberty Stadium.
Cleverley, who impressed in early season for United, has returned from an ankle problem that he sustained in the Carling Cup clash with Aldershot.