This is not the first time they have been linked with the Montenegro international hitman, who could well leave Turin this summer.
He is increasingly pushed to the sidelines by the arrival of Carlos Tevez and Fernando Llorente, while the Bianconeri have also been unable to sell Fabio Quagliarella and Alessandro Matri.
According to the Corriere dello Sport, Manchester United are prepared to meet the €15m – approximately £13m – price-tag set by Juventus for Vucinic.
The 29-year-old scored 14 goals in 43 games in all competition for Juve last season, including 10 in Serie A.
To sell for €15m would be a sound financial move too, as Juve paid only a combined €9m plus performance-related bonuses for both Tevez and Llorente.