Esport 3 reports that the Catalan giants are ready to sell Suarez, should they manage to bring in Antoine Griezmann this summer.
Suarez has been a hit for Barca since joining the club from Liverpool in 2014. The 31-year-old has scored 151 times in 195 appearances for the La Liga champions.
Barcelona directors are considering selling the Uruguayan, should they receive a lucrative offer for the striker, and if they manage to sign Griezmann.
Suarez is reportedly keen on staying at Camp Nou.