Bayern Munich general manager Uli Hoeness has put Lucio's future back into the spotlight after suggesting the Brazil defender could be allowed to leave.
The South American is reported to be unsettled at the Allianz Arena amid suggestions that he is not wanted by new coach Louis van Gaal.
Last week Bayern issued a statement claiming the former Bayer Leverkusen defender remained central to their plans, but Hoeness has now broken ranks to suggest otherwise.
Manchester City and AC Milan have both been linked with moves for Lucio in recent weeks.
"It's up to Lucio what will happen with him," said Hoeness. "If he steps up to us to tell us that a club is interested in signing him, we'll look in to the possibilities.
"However, he'll only leave us for the right price."