Anthony is being sued by a woman named Zenaida Fernandez-Gonzalez.
In 2008, Anthony said a nanny by the same name kidnapped her daughter Caylee, a claim that proved to be false. Gonzalez says her reputation was ruined as a result.
A judge said on Thursday that Anthony will be deposed by video feed in October, but Anthony's lawyers say she will plead the fifth and will only say her name.
Anthony was acquitted of killing Caylee and released from jail in July. She is now serving probation on an unrelated charge at an undisclosed location in Florida.
Her whereabouts have been kept secret because she has received death threats.
The Associated Press contributed to this report.