Sky Deutschland is reporting the Bees are ready to part with the former Liverpool winger during the winter market.
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Carvalho has been expected to leave on-loan, but an outright sale hasn't been ruled out.
The Portugal U21 midfielder is in his second season at Brentford and has struggled for regular action.
Carvalho, 23, has a deal with Brentford to 2029.
Sky Deutschland's Florian Plettenberg states: "Understand Fábio Carvalho will definitely leave Brentford in the winter. A permanent sale is even being considered."
