Jones sued Halliburton and its former subsidiary KBR, saying she was raped while working for KBR at Camp Hope, Baghdad, in 2005.
The Associated Press usually doesn't identify people alleging sexual assault, but Jones' face and name have been broadcast in media reports and on her own Web site.
The companies contended Jones' contract required claims against them be settled through arbitration. In September, an appeals court ruled her claims can go to trial.