The Red Devils are believed to be very keen on the 25-year old but at this stage, Vucinic is very happy where he is.
"It's certainly pleasing that a great club like that are interested in me," Vucinic told Corriere dello Sport.
"But I have only heard about it from the newspapers.
"At the moment I'm only thinking about relaxing by the seaside with my family.
"I've just signed a new contract and I'd like to stay at Roma."