The well-informed RAC1 journalist said Ferran Soriano, a former Barca board member, is leading talks for Messi.
And he has offered the 33-year-old a two-year contract with the same salary he has at Barcelona.
In return, Messi has requested that Pep Guardiola remain on the bench after next season.
Ferran Soriano está liderando las negociaciones con en el entorno del jugador.
El City le ofrece 2 años en Manchester
Le mantienen la ficha del Barça
— Gerard Romero (@gerardromero) August 26, 2020
Guardiola only has one year left on his City contract but the arrival of Messi could convince him to stay on.
Other reports in Spain say City will offer Messi the chance to finish his career in America with New York City.
Barcelona remain adamant that Messi’s exit clause has expired, but could negotiate a reasonable transfer fee with City.