Best way is getting Temporary Visitor Driver's License. Don't need SSN.
More information here http://www.cyberdriveillinois.co ... _license/dlfaq.html
It says:
Drivers moving to Illinois may use their valid driver's license from their home state or country for 90 days. You may obtain an Illinois driver's license or identification card only if you are becoming a legal resident of Illinois. If you have a valid driver's license from another state or country, you may use it to drive in Illinois throughout your stay (if you do not plan to become a permanent resident of this state). Illinois does not recognize the international driver's license.