Fiorentina forward Jovetic is being linked with a move away from the Viola this summer, with Juve after a forward.
However the intense rivalry between the two teams could make a move difficult, with Arsenal also keen.
“I am not surprised Arsenal are interested in him because he is a top striker, but I have told him to stay in Italy,” Vucinic told the Daily Mirror.
“Juventus are back competing in Europe and it would be an excellent move for him and us.”