Campbell lodged a complaint with police after being attacked by two men on motorbikes in the capital's trendy Marais neighborhood.
The men attempted to steal Campbell's bag from inside the car she was in on the evening of November 21, a police source said.
"There was an attempted robbery with violence," an official at the prosecutor's office said.
U.S. media reported that Campbell had suffered a knee injury in the attack and could require surgery.
A spokesman for Campbell declined to comment and Paris police could not give details of any injuries, saying Campbell had declined an offer to be examined by doctors at the police station.
The incident occurred a short distance from a bar where fashion designer John Galliano made headlines in early 2011 by making an anti-Semitic outburst at fellow drinkers.
Campbell, 42, has been convicted herself of assaults on her staff and on police officers and was ordered by one judge to attend anger management classes.
