The Brazil skipper is reported to be interested in a move away from the club after not being guaranteed a first-team place.
Luico face competition from Martin Demichelis, Daniel van Buyten and Breno for a first-team place at Bayern Munich.
Bayern Munich boss Louis van Gaal told Suddeutsche Zeitung: “Lucio is under contract just like Martin Demichelis, Daniel van Buyten and Breno.
“These four defenders all have a strong right foot and are competing with each other for one first-team spot.
“I am, however, just imagining that there will be one starting berth available to these four players.”