The trial had been scheduled to start Monday, but a judge delayed it until Oct. 7 at a defence attorney's request.
Jones has pleaded not guilty and was released on his own recognizance after his June arrest. He and his attorney have declined to comment.
He's accused of hitting a 34-year-old woman at a downtown Cincinnati nightclub. A police report listed the injury as apparently minor.
Jones could be punished by the NFL under its conduct policy.
He has been in trouble previously. He pleaded guilty last year to a misdemeanour charge of disorderly conduct in another case.