Amorim doesn't plan to return to management until the summer, while Benfica's board are happy with the work of Jose Mourinho this season.
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The Mirror says, however, that Amorim is being discussed inside Benfica's board room in the event Mourinho chooses to leave at season's end.
The Portuguese has been linked with a return to Real Madrid in recent weeks and is also a candidate for the Portugal job after this year's World Cup.
Amorim, meanwhile, is available after setting on a £10m-plus payout with United after his January sacking.