Ref: Authority letter from Traffic department to drive car outside KSA

Hi guys,
I have a query with ref to authorization paper from traffic department to drive the car outside KSA - Bahrain in my case.

I am planning to go with weekend to Bahrain depart Wednesday and return on Friday. Unforgettably, the current letter I have will expire on Thursday.

If I travel on Wed, will they allow me to take car as there will be only 1 day to the expiry of permission.

Moreover, As I'll return after 1 day of expiry, will that be a problem.

Has any one experienced such situation?