The 28-year-old Sevilla star came close to joining Italian giants Milan this summer, but the two clubs failed to agree a fee.
The People says United boss Sir Alex Ferguson is an admirer of the Brazilian.
A source close to Fabiano told The People: “Luis Fabiano was unhappy with the failure of his move to AC Milan, and he has decided not to speak about his future until there is a concrete offer.
“He is concentrating on doing well with Sevilla, but it pleases him that big clubs are interested in him.”
