Antonio Conte's men make early enquiries for out-of-favour defender, who has previously said he wants to stay with the Serie A champions
La Gazzetta dello Sport reports the Turin-based side are interested in landing the 29-year-old.
Juventus general director Giuseppe Marotta has already spoken to the player's agent over his availability.
However, Milan are not looking to sell the Italian, who was recently linked with Leonardo's Paris Saint-Germain.
Last month the defender said he wanted to stay with Milan, but Juventus could be tempted into making a last-gasp move for him during the transfer window.
Antonini re-signed for AC Milan from Empoli in 2008 for €2.9 million after having endured a frustrating first stint at the club from 2000 to 2003.