Italian newspaper Gazzetta dello Sport, as quoted by Metro, is reporting that the incoming Chelsea FC boss wants the Blues to conclude a deal to bring the Brazilian goalkeeper to Stamford Bridge this summer.
Liverpool FC have been strongly linked with a move for Alisson over the last few months, while Real Madrid have also been credited with an interest in the Brazil international.
Indeed, Real Madrid are now thought to be in pole position to sign the goalkeeper this summer, but the latest reports in Italy suggest that Chelsea FC could be set to make a late swoop to try and land the 25-year-old.
Chelsea FC are widely thought to be set to replace Antonio Conte with Sarri this summer, and the incoming Italian boss reportedly wants them to target the Brazilian shot-stopper as one of his first signings.
The same report says that Thibaut Courtois has no intention of extending his current contract at Chelsea FC, with his deal set to expire next summer.
Chelsea FC are yet to confirm any new signings this summer.
MORE: Man United latest news
MORE: Arsenal latest news
MORE: Chelsea latest news
MORE: Liverpool latest news