The 23-year-old impressed while on loan at Pacos Ferreira last season and has reportedly attracted interest of the Primeria Liga giants as he seeks a move away from Old Trafford
The 23-year-old joined the Red Devils in a surprise €9.4 million move from Vitoria de Guimaraes in 2010, with then-manager Sir Alex Ferguson admitting afterwards he had never seen the forward play live.
Bebe endured unsuccessful loan stints with Besiktas and Rio Ave, but turned in a number of fine performances for Pacos Ferreira last term, scoring 14 goals in all competitions, helping the club to maintain their Primeira Liga status.
Benfica are now reportedly interested in his services and Bebe is keen for the move to happen.
The forward told Antena 1: "I think it would be a good opportunity for me. For now, I will wait for my agent to resolve it. He will certainly know better than I do whether it's true or not.
"Of course, it would be a great opportunity for me. Maybe I could play more and they could rely on me more. I think it would be a unique opportunity."