The Rossoneri have slipped one point behind Juventus in the standings but their coach remains confident that his troops can overhaul the Bianconeri before the season's end
The Rossoneri have had to make do without key players at regular intervals throughout their current campaign, and star defender Thiago Silva and influential trequartista Kevin-Prince Boateng are just two of those currently out of action.
However, with Milan still just one point in arrears of league leaders Juventus with six rounds still remaining, Allegri is in a defiant frame of mind ahead of Saturday's must-win encounter with Genoa.
"I still believe that we will win it," he told reporters at a press conference on Friday. "We will fight for the Scudetto but it will be very tough.
"On Sunday night we will see where we are but there are still many matches to go. We must return to the top of the table."
However, Allegri admitted that he still has no idea if he will be able to call upon the services of Boateng for the title run-in.
"We did a scan on Boateng yesterday [Thursday], and he has an inflammation in the groin," the Rossoneri boss explained. "We don't know when he can play again.
"We have been missing a player with his characteristics as he is an atypical trequartista, but the squad has still been able to do his job in his absence."
Allegri is buoyed by the fact, though, that talismanic striker Zlatan Ibrahimovic, who has been experiencing some back pain of late, is in good shape.
"Ibra is feeling fine," he stated. "Against Chievo [on Tuesday] he gave it his all, just like the rest of the squad. I'm proud of them.
"With regard to the line-up [for Genoa], I still have to evaluate the players in today's training. After that I will decide."
Milan's meeting with Genoa kicks off at San Siro at 18.00CET.