According to the daily, Zakharova is expected to be brought to the Manhattan Criminal Court on November 1.
Svetlana Zakharova, 26, was arrested on Monday in a New York airport upon her return to the United States from Russia.
The trial on Zakharova's case began in the Manhattan Criminal Court on Tuesday.
Earlier this year, Zakharova claimed that Spitzer had assaulted her in the Plaza hotel. Spitzer, who left the New York governor's post in 2008 amid a scandal that exposed him hiring prostitutes, denied all accusations.