Yes, you can drive with your saudi license on you, no worries. I got this q&a from the NY DMV. "Can I drive In New York State with an out-of-state or foreign driver license?
You can drive in New York State with a valid driver license from another
state or country. You don’t need to apply for a New York State driver
license unless you become a New York State resident.
If
you have a driver license from another country you do not need an
International Driving Permit, but the permit verifies in several
languages that you have a valid driver license. This is helpful to
police officers who can’t read the language on your foreign driver
license. Contact the authorities in your home country to get an
International Driving Permit"