yes..nawas is rigth.but need additional documents such as Job and recommendation letter from your company.eyes test certificate and original saudi licence and make copy it
prepare Qnb / bank card for pay QR 200.also just prepare Qatar ID copy..only need 5 minutes,your Qatar licence will be ready.
dont forget,they will not take and hold your saudi licence.

just come to Traffic department in Madina kalifa..

good luck..