Manchester United will reportedly offer Bebe to Benfica as part of a deal for midfielder Nicolas Gaitan.
The Portuguese club are thought to be seeking £16m for the Argentina international, who has been linked with a move to the English side this summer.
However, Portuguese newspaper Record reports that the Premier League side will attempt to reduce the cash price by offering the striker as part of the deal.
Bebe spent last season on loan with Pacos de Ferreira, and has made just two appearances for United since moving to Old Trafford in 2010.