Massimiliano Allegri's side have made a terrible start to the season and need three points to relieve the pressure on their under-fire coach
Massimiliano Allegri's men have endured a dreadful start to the season and sit 19 points behind league leaders Roma in 10th.
Milan have not tasted victory in any competition since their 1-0 home win over league rivals Udinese on October 19, but their recent form against Genoa has been impressive, with the Rossoneri winning five of the last six encounters.
The hosts will attempt to continue that run without a number of key players, among them suspended captain Ricardo Montolivo.
Striker Mario Balotelli returns from his ban, but Stephan El Shaarawy (foot) and Antonio Nocerino (calf) are likely to miss out, along with Giampaolo Pazzini, Marco Amelia (both knee) and Mattia De Sciglio, while Cristian Zaccardo (ankle) is doubtful.
Genoa's upturn in fortunes has coincided with coach Gian Piero Gasperini's return to the Stadio Luigi Ferraris, losing just once once since the appointment of the former Inter boss on September 29.
The seventh-placed visitors have not conceded a goal in three games either and will be hopeful of maintaining their strong defensive record against a Milan side that has struggled to find the net in recent weeks.
Defender Alessandro Gamberini (back) is unavailable for Genoa, however, while striker Ze Eduardo (hamstring) is also out.