Roma are set to pass on signing outright Wojciech Szczesny.
The Poland international goalkeeper is coming to the end of his second season on-loan at Roma from Arsenal.
Szczesny is open to signing permanently with the Giallorossi, however TMW says management are prepared to go with Alisson for next season.
The keeper's loan agreement doesn't include a permanent option.
A return to Arsenal is emerging as a serious prospect with doubts persisting over the futures of David Ospina and Petr Cech this year.