The project got a technical green light on Tuesday night pending definitive city council and regional government votes.
Mr Baldissoni said the inaugural game at the new stadium is expected to take place in the 2020-21 season.
“The objective is to open the building site at the end of April or at the latest the beginning of May 2018...in order to have a construction time that may vary from 26 to 28 months,” he said.
Mr Baldissoni added that the project is still subject to "various administrative passages”, including the council vote on modifying the city's urban plan.
Earlier this year, Roma President James Pallotta warned he would sell up the Serie A club if the Lazio regional government does not approve the project for the swanky new stadium in the south of Italy's capital.
The club had significantly scaled down the delayed project - which was inspired by the Colosseum - axing two office towers to win the backing of Rome Mayor Virginia Raggi.
AS Roma has long desired its own private stadium, similar to the Juventus Stadium.
At present, they share the publicly owned Olimpico Stadium with cross-city rivals, Lazio.
With ANSA