hi..i think no need to obtain temporary DL as you already have a valid one. My case, I left Qatar 5 year ago and recently back here from Oman.my Qatar DL was expired last year and I already have valid Omani DL. When I went to Traffic department to apply for temporary DL, they said as your Qatar DL is already expired we will issue a temporary DL for your expired Qatar DL till you get your QID. Later you can convert it to permanent once QID is ready.
I recommend you to go Traffic department and ask from the reception. There is no rush over there as there are lots of counters available. They are open till 7pm.