Dembele joined Barca from Borussia Dortmund last year but spent much of the season struggling with a thigh injury that ruled him out of the team between September and December.
Since returning to the fold he has managed three goals and six assists in La Liga but Barcelona manager Ernesto Valverde is apparently unconvinced by the Frenchman and could seek to loan him out next season - or sell permanently, if the price is right. Liverpool have been one of those linked with a move in recent weeks.
Journalist Roger Sapares, who works for Catalan radio station RAC1, has revealed that Barcelona are testing the water to see if there would be any interest in Dembele.
The tweet translates as: "
However, Barcelona would be looking to cut their losses for Dembele and it is unlikely that Liverpool would be prepared to offer anything like the £97m that Barca forked out to sign the youngster last summer. A loan move might be more likely.
Another reason that Dembele has struggled for game time at the Nou Camp is
Not that Dembele would find it any easier to break into Liverpool's front three of Mo Salah, Sadio Mane and Roberto Firmino, who have scored 90 goals between them this season.