Despite president Josep Maria Bartomeu saying last week that Rafinha would remain at the club, sources close to the 24-year-old have told 'Sky Sports' that Barcelona will listen to offers of more than €30m.
Rafinha did not join Barcelona's pre-season tour of the USA as he is currently recovering from a knee injury.
The Brazilian was recently asked about his future and answered in pihlosophical fashion: "My future is open and God only knows what will happen," he said.
Rafinha played 28 times for Barcelona last season and is the younger brother of Bayern Munich's Thiago Alcantara.