Sidelined duo will recover in time for Saturday's match in Wales having both missed England's recent friendlies against Spain and Sweden with respective ankle and toe injuries
The Sun claims that the midfield duo are ready to play, although striker Danny Welbeck remains a doubt after picking up an injury during England's 1-0 win over Spain last weekend.
Both Cleverley and Young could have been included in Fabio Capello's squad if not for injury, with the former recovering from a more severe knock.
Cleverley picked up an ankle injury in United's game against Bolton Wanderers in early September.
Young, meanwhile, has been ruled out since suffering a toe injury in training before the Red Devils' visit to Everton at the end of October.