Arizona, which has charged Sharper in a similar case, wants to extradite him there for trial. He's also been investigated in Louisiana, Nevada and Florida. But in May authorities in Florida found insufficient evidence to pursue charges there.
He has pleaded not guilty in California, and he and his lawyers have denied the allegations in the other states.
Prosecutors said outside court the preliminary hearing will take about two weeks. They're seeking to show there is sufficient evidence to order Sharper to stand trial.
He is accused of giving women drugs and raping them while they were unconscious.