Edwards said in court filings in a North Carolina state court this week that a scheduled June 20 deposition should wait until after the federal criminal case against him concludes.
Edwards is entitled to the stay "in order to protect his constitutional rights to due process, a fair trial and against self-incrimination," the filing states.
Edwards is the star witness in a privacy lawsuit his mistress Rielle Hunter filed against former Edwards campaign aide Andrew Young. Hunter contends Young improperly took from her sensitive materials, including a reputed sex tape showing Edwards. She wants the items returned to her.
Young said Hunter left them behind after leaving a hideout they shared while covering up Edwards' affair during the 2008 presidential campaign. Hunter said in an affidavit that she created a private video in September 2006.
Edwards was charged last week with six federal counts also related to Hunter. The government accused him of improperly using campaign money to keep Hunter out of the public eye as he pursued the White House. The charges include conspiracy, taking illegal campaign contributions and making false statements.
Edwards has insisted he did not break the law.
