The Mail reports that United are favourites ahead of Bayern Munich and Paris St-Germain in the race to sign the 20-year-old Brazilian forward.
United are lining up a £40million move for Richarlison as manager Jose Mourinho has identified the Brazilian as a key summer target.
Richarlison has four years left on his current contract at Watford and the club is reportedly desperate to hold on to the forward.
Reports claim that United could allow winger Anthony Martial to leave the club, should they succeed with their move for the former Fluminese star.