The Mexico international has been plagued by injury this season, but Barca management are prepared to give him until the end of the campaign to prove his worth.
Strengthening Marquez's hand is Barca's decision to drop talks with Racing Santander defender Ezequiel Garay.
Meanwhile, El Mundo Deportivo says Barca have not invited offers for unsettled striker Thierry Henry. The board would only consider the Frenchman's sale if he asked for a move.