Milan have endured a poor start to the Serie A campaign so far, claiming just one point from their opening two matches.
And Il Corriere dello Sport believes that a fresh injection of speed has been identified as a must by Milan coach Massimiliano Allegri, with Krasic top of his wish-list.
Despite Krasic's agent claiming his client was happy at the club just last week, the player has been benched by new Juventus coach Antonio Conte for the Bianconeri's opening two league games, who has instead plumped for Simone Pepe.
With doubts over whether Krasic features in Conte's long-term plans, Milan are believed to be considering swooping for him when the transfer window next opens in January.
Krasic made 41 appearances for Juventus last season, scoring nine goals in the process.