Tansfer journalist Matteo Moretto reports Barcelona scouts have been impressed by the 24-year-old Portuguese.
However, the price tag will be a problem. Wolves are unlikely to release Nunes cheaply, and Barça, which is well known, has financial constraints due to the LaLiga's wage ceiling.
Nunes has two goals and two assists in 34 games this season.
The contract with Wolverhampton runs until the summer of 2027, with an option for another season.