Most prospective jurors have said they disagree with Simpson's 1995 acquittal in the slaying of his ex-wife, Nicole Brown Simpson, and her friend, Ronald Goldman.
But they insist they can be fair in the latest case.
Simpson and co-defendant Clarence "C.J." Stewart have pleaded not guilty to kidnapping, armed robbery and 10 other charges.
Clark County District Court Judge Jackie Glass says she wants to begin opening statements Monday.