The Rossonero are seeking an experienced defensive signing in January and have been exploring bringing Fluminense veteran Thiago Silva back to the club.
However, Disasi is also being considered, with the Frenchman up for sale at Chelsea.
Frozen out in preseason, the former Monaco defender has only just been welcomed back to senior training and cleared to play for the U21s to pick up his fitness in time for the winter market.
Il Corriere dello Sport says Milan sports chief Igli Tare sees Disasi as an attractive - and cheap - option to boost their defensive options for the second-half of the season.
Tare is expected to seek an initial loan arrangement with Chelsea, with negotiations expected to be smooth thanks to the positive relationship between the two clubs.