The player's representative backs up earlier statements from club president Massimo Moratti, who looks set to cash in on his star striker after a huge offer from Russia
Goal.com exclusively revealed earlier today that the eastern European side had offered a €35m [£30.8m] transfer fee, with the player himself being approached with a €20m [£17.6m] per annum four-year package.
And Vigorelli has confirmed to La Gazzetta dello Sport that a transfer is almost complete.
"We have almost reached an agreement with Anzhi. Now we hope that the clubs agree," said the player's representative.
Vigorelli's words come hot on the heels of confirmation from Inter president Massimo Moratti that the club are in talks with Anzhi over the Cameroonian's transfer.
"The offer is not indecent but it is not up to me to evaluate it," said the club patron. "In fact it is intelligent, interesting and fair. Now it is up to us and Eto'o to evaluate it."
Eto'o was the Italian club's top scorer last season with 37 goals in all competitions, and will be seen as a big loss to the 2009-10 Champions League winners, whose other major asset Wesley Sneijder, who has been linked with a switch to Manchester United, also recently hinted that he could leave San Siro.