Villa are confident securing global clearance for the Brazilian will not be a problem because, although he does not automatically qualify for a work permit, he has played in the Champions League - so they hope the exception panel will allow his registration.
But Villa officials are understood to consider the potential deal a significant coup, with Moraes, 22, establishing a reputation as a powerful striker with an eye for goal.
Wesley scored 17 goals for Brugge across all competitions last season, including two in the UEFA Champions League group stages, winning a pair of league titles and two Belgian Super Cups during his time with the club.
It follows the signing of Anwar El-Ghazi on a permanent four-year deal from French club Lille on Monday. Should he make the move to Villa Park, he will fill the place left by loan star Tammy Abraham, who is highly unlikely to be returning to Aston Villa this summer.
The Club Brugge striker has always been linked with a move to St James' Park, with it once considered a guarantee that the 22-year-old would either be joining us this summer, or completing a switch from the Belgian top-flight to the Italian Serie A with SS Lazio.