The report said Messi and his father Jorge had begun discussing renewing his last deal with the club, which was signed in 2017, but that he no longer wishes to stay at the Camp Nou.
The report added that Messi is angry about leaked media reports that appeared to make him seem responsible for events at the club, such as the January sacking of coach Ernesto Valverde, and that he is frustrated about the squad’s lack of quality.
The Argentine’s representatives and Barcelona did not immediately respond to requests for comment.
Messi, who turned 33 last month, scored his 700th career goal on Tuesday against Atletico Madrid, but the milestone strike ended in disappointment as Barca drew the game 2-2 in the latest blow to their bid to retain the Spanish title.
Barca trail Real Madrid by four points in the title race with five games remaining after Real beat Getafe 1-0 on Thursday.