Messi's contract is due to expire next year and the Argentinian has reportedly stopped talks due to frustrations with the direction of the club.
"Messi is planning to leave Barca," Spanish radio Cadena Ser said on Thursday.
"Right now, Messi's idea is to finish his contract in 2021 and leave Barcelona. Messi has stalled on the extension of his contract. Negotiations had started very well, with a good understanding between the two parties, but recent events have made Messi reconsider everything."
Asked about suggestions Messi plans to leave Barcelona, coach Quique Setien said on Saturday: "I won't speculate about this because I haven't heard from him so I'm not aware of him saying anything. I see him well, everything else is speculation that I won't get involved in. We speak about what we have to speak about and nothing else."