The 20-year-old has been sidelined with an ankle injury picked up in the latter stages of the Carling Cup semi-final second leg win against Derby in late January.
Early reports suggested that the Brazilian midfielder would be out of action for up to three weeks but if the former Porto ace returns for the trip to Wembley it will be closer to five.
Anderson has played in all five of the club's Carling Cup fixtures this season and will be determined to prove his fitness for what would be his first opportunity to appear in a domestic final for United.
"Anderson is back training with the first team today and he could be back for the League Cup final," Ferguson said.
But getting fully fit only appears to be half the battle. United are spoilt for choice in the midfield area and with veterans Ryan Giggs and Paul Scholes just two players to impress in the centre of the park during Anderson's absence he now has a fight on his hands to just get into the squad.
"I've got Anderson, (Darren) Fletcher, (Michael) Carrick, young (Darren) Gibson, who's coming on leaps and bounds now," the Scot added.
"It gives me headaches but it gives me more options and I'm able to tailor Scholes and Giggs' roles in the games."