Now as it applies to a rental car almost every rental car company requires any person who is going to drive the car be listed on the contract. It depends on jurisdiction and the state the vehicle is registered in etc.Yes, Budget allows renters to pick up a rental car with a temporary license. (All Illinois taxes must be paid when the vehicle is leased.) In addition, for rented vehicles, a copy of the certificates of insurance is required. Was I driving without insurance in a rental vehicle? In December I rented a car from Enterprise Rent-A-Car in Illinois to drive to Minnesota. The driver will need to possess a valid driver's license, be at least 25 years of age and be subject to any applicable driving record check. Renting motor vehicle to another. Insurance is MANDATORY for driving any automobile in Illinois. 1. Do you have rental car insurance through your credit card that is valid in. U.S.?