With Kaka, Stephan El Shaarawy and Riccardo Montolivo among those marked absent, the Rossoneri are stretched to the max.
But Allegri refuses to panic and said: "The list of the injured seems like a casualty report in war, but I'm not worried about the situation.
"We have 13 players available and there's a question mark over Andrea Poli. We'll try and get him fit for the match.
"There are two other decisions to be made, Kevin Constant or Urby Emanuelson and Robinho or Valter Birsa."
Allegri will have to dip into his B squad to make up the numbers tonight, and said: "There are a couple of players from the Primavera side.
"Bryan Cristante looks a good player, but we're talking about teenagers.
"Still, if I had to call on him, I'd be confident."
Allegri knows whoever he selects will have to be ready to battle against the Scottish Champions.
He said: "It'll be a tough match against a very physical team.
"But I'm comforted by the fact there will be at least 50,000 fans.
"We've got to look to win against a side who are very solid in defence, and I'm not only referring to their defenders. They are very physical and very strong in attack, too."
Allegri concedes the pressure is on Milan and added: "We have to look for the win as these will be three important points for the group we're in.
"If your target is to get to the play-offs, it's normal all your energy will be taken up by that aim."