The 29-year-old Montenegrin international has been identified by Bianconeri boss Antonio Conte as a player that is free to leave Turin in the summer, as he looks to revamp the Italian club's attack ahead of the 2013/14 season.
Red Devils boss Sir Alex Ferguson is a known admirer of Vucinic, and has kept a close eye on the striker ever since he signed for Juventus from Roma in 2011.
His return of 15 goals in 55 Serie 'A' appearances over the past 18 months is a modest haul, however, that has not thwarted Manchester United's interest in signing the player.
Juventus have already confirmed the signing of Athletic Bilbao striker Fernando Llorente, who will join the reigning champions at the end of the current season - a deal that will likely push a couple of other players closer to the exit door.
Fabio Quagliarella and Alessandro Matri have already been linked with moves away from Italy in the summer, and now Vucinic could join them if Manchester United firm up their interest in bringing him to Old Trafford in the summer.
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