The Blues announced this week that Conte will take charge at Stamford Bridge on a three-year deal after coaching Italy at Euro 2016 this summer.
But Conte is one of several defendants in a match-fixing trial taking place in Cremona, relating to when he was in charge of Siena, who were then competing in Serie B.
The 46 year-old is accused of failing to report his knowledge of fixing by players in a 1-0 defeat to Albinoleffe in May 2011.
Former Siena midfielder Filippo Carobbio accused Conte, who denies any wrongdoing, after striking a plea bargain with the authorities during the long-running Scommessopoli, or 'Last Bet', probe.
Italian prosecutor Roberto Di Martino - the man also leading a call for top tennis players to be investigated for possible links to betting rings - has reportedly stated he would be seeking a six-month suspended prison sentence and a $12,000 (8,000 euro) fine for Conte.
The current Italy manager has already served a four-month touchline ban imposed by the Italian Football Federation in 2012 as a result of this case.
A final statement by the defence, led by Conte's lawyers Francesco Arata and Leonardo Cammarata, should be made to the court on 11 April, with judge Pierpaolo Beluzzi's verdict expected in mid-May.
Chelsea will not comment on the matter as it is part of an ongoing legal process, but three-time Serie A-winning coach Conte, who has maintained his innocence throughout the affair, believes he has no charge to answer.
