Bebe hopes to avoid being part of United's US tour, despite being included in the original squad.
Benfica coach Jorge Jesus is eager to sign Bebe after his outstanding spell on-loan with Pacos de Ferreira last season.
For his part, Bebe wants the deal to happen and fears Benfica will move onto other transfer targets if United take him to the US.
The 24 year-old scored 12 goals in 27 games for Pacos de Ferreira last season.
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