Barcelona are expected to bring a whole new face during the summer transfer window, but that means they have to shed some of their current crops first.
Up to 9 players are likely to continue in the next few months, with Griezmann among those believed to be on sale.
According to El Gol Digital, the Frenchman will be available at a lower cost and Liverpool are monitoring the Griezmann situation.
Barca finished third in La Liga and finished 16th in the UEFA Champions League this season, despite winning the Copa del Rey last month.
Griezmann finished the season with 21 goals and 7 assists in all competitions, including the late Barcelona winner in a 1-0 win over Eibar in their final 2020-21 match.