i cant leave means what, i will go on vacation. last year i have done same. from saudi came to qatar without final exit. PRO has done every thing. he canceled my my saudi visa then they stamped my qatar visa.you must get a exit permit first, otherwise you can not leave qatar.
This is not about an exit stamp. OP's sponsor has to provide a document allowing him to exit the country, only when he goes through Immigration is his passport stamped. Also, nowadays, with the new style passports and E-gate cards many of us don't have stamps in our passports at all, but the details are in the system.with all gcc countries if you dont get the entry and then the exit stamps it will cause no end of problems. it needs to be done officially and properly.