Max Allegri will make a decision to sign either Andrea Lazzari or Mark Van Bommel this week as he looks to bolster Milan's midfield.
The Rossoneri feel that they are a player short in the position after Mathieu Flamini suffered a knee injury and have expressed their intention to bring in some cover.
It's no secret that Milan had earmarked Chievo midfielder Kevin Constant for the role, but he is unavailable until the summer.
In that case, Allegri is keen to be reunited with Lazzarri who he coached to good effect during his two-year spell with Cagliari.
Il Corriere dello Sport understands Milan have agreed a deal to sign the 26-year-old in exchange for the other half of Davide Astori's contract.
However, Milan Vice-President Adriano Galliani is due to meet Van Bommel on Thursday to sound out his intentions for the future.
The Holland international is out of contract at Bayern Munich in the summer and it's thought that Zlatan Ibrahimovic's agent Mino Raiola has agreed to represent him.
Milan are also keeping tabs on Ajax's 18-year-old Christian Dannemann Eriksen.