Jones, a contender to start, has not been practicing with the team since his felony arrest on Thursday, a team spokesman confirmed to ESPN.
According to an arrest affidavit obtained by The Tennessean, Jones refused to stop for an off-duty police officer and struck the officer on the knee with his vehicle while attempting to drive around a traffic barricade near campus.
The 20-year-old Jones, from Meridian, Mississippi, was released on $10,000 bond.
He played in 11 games as a redshirt freshman last season, totaling 11 tackles.
Vanderbilt opens the season on Saturday at home against Middle Tennessee.