(CNN) Spacey and the company have been battling in the years since the actor was dismissed from the production over allegations of misconduct on and off the set.
A judge set Spacey's trial for June 2023.
The actor faces four counts of sexual assault.
The charges against the gay actor stem from an investigation by British authorities going back to 2017.
The disgraced House of Cards star was found to have violated the production company’s sexual harassment policy.
The suit includes Rapp's accusation that Spacey sexually assaulted him when Rapp was 14, plus similar charges from an anonymous man.
The Malibu-based massage therapist alleged that Spacey forced him to grab his genitals during a session in 2016.