The Brazil international's future at Bayern is clouded after the arrival of midfield signings Mario Gotze and Thiago Alcantara in the summer.
German media sources say Chelsea are paying close attention to developments as Gustavo returns to Munich for preseason training. Arsenal are also being linked with manager Arsene Wenger keen to find a ball-winning midfielder this summer.
"I hope to talk with Pep Guardiola. I want to know what he demands of me this season," said Gustavo.