كتب : Hatem Maher
The Brazilian international was stretched off the pitch before the end of Tuesday's clash after suffering a partial lesion of his left quadriceps tendon, the Serie A side said on their official website on Thursday.
The news will come as a blow to Milan coach Carlo Ancelotti, whose side have lost four of their last five Serie A games.
According to Calcio Italia magazine, the Rossoneri are eyeing a January move in the transfer market to sign Livorno's custodian Marco Amelia.
Milan are also targeting Amelia because Dida's back-up keeper Zeljko Kalac hasn't impressed in his Coppa Italia appearances.