The Rossoneri have been keeping close tabs on the player for a while now and they finally appear ready to submit an official proposal.
Club owner Silvio Berlusconi has given the green light to launch an assault on Cerci, who is seen as a cheaper alternative to Juan Manuel Iturbe.
The two clubs have established very good relations over the last couple of months, with the Rossoneri allowing Antonio Nocerino to join Torino on loan while agreeing to pay half of his wages.
It is believed that Granata would require between €18m and €20m for their prized asset, and Milan seem happy to meet the asking price.
Alessio Cerci was part of Italy’s World Cup squad that crashed out in the group stages, with Argentina now 5/2 favourites to lift the title.