The 27 year old admits he is happy to know City coach Roberto Mancini is an admirer of his talents, but he insists he has no plans to leave the Stadio Olimpico.
"It's nice to know that a coach such as Roberto Mancini wants me," Vucinic told Sky Italia.
"But for now I am focused on Roma only and do not want to join any other side.
"I am happy here and want to stay at the Olimpico, but then it is all up to Roma really."
"If there is an offer that Roma considers important we will sit and discuss it. But it is still too soon."