The Rossoneri's Champions League quarter-final opponents Barcelona lodged an official complaint with Uefa in relation to the playing surface after Wednesday's goalless draw between the two sides at San Siro.
Milan issued a statement defending the condition of the pitch but Allegri admitted during a press conference on Friday that something has to be done.
"We have to solve the problems with the pitch at San Siro, because the pitch gets changed five-to-six times a year," the former Cagliari boss pointed out.
On a more positive note for Milan, Antonio Cassano, who has been out of action since undergoing an emergency heart procedure last November, is nearing a return to first-team duty.
Allegri admitted that he is optimistic of having the forward, who played a minor role in training on Thursday, available for the Serie A title run-in.
"I can't use Cassano until the doctors give him the green light,” the 44-year-old coach said. “But I hope that he'll be ready for the final part of the season."
The Rossoneri boss is also hoping that Alexandre Pato, who has been plagued by thigh problems this season, will soon be available for selection again after visiting an Atlanta-based specialist this week.
"Pato will return from the USA," Allegri revealed. "He's feeling fine. We will evaluate his condition on Sunday to find out when he can play again."
Elsewhere, Allegri confirmed that right-back Ignazio Abate is fit again after a thigh problem but may not be risked against Catania on Saturday.
"Abate has returned from injury, but I still have to decide whether to use him from the start tomorrow or not," he admitted.
"[Massimo] Ambrosini is fine, and I don't think that he will have problems with playing tomorrow and also perhaps on Tuesday.
"[Alessandro] Nesta and [Clarence] Seedorf returned against Barca after having not played for a long time. That's why I'm resting them against Catania.
"[Mark] van Bommel has back problems. We will evaluate his condition in the next few days to see if he will be ready for Barca."
Milan's meeting with Catania in Sicily gets underway at 18.00CET.
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