It is pretty simple. If your kafeel has not made your Iqama. If you stayed 90 days in kingdom. If you still didn't had Iqama. What you need to do is just find a company and give Interview if they select you. Tell them following procedure
1: Visit labor office with Demand letter by mentioning they want to hire you. Labor office will make your transfer. Don't forget to give xerox documents to your kafeel.
Note: original documents will give you advantage.
2. Next step is to make one more demand letter to Jawazat. They will generate your temporary work permit.
3. Tell your new company or sponser that submit a letter to your country embassy that they hired you under their sponsership. They will make your new passport.
Note: Above point apply only and only if your old kafeel demands big amount or he is not giving you passport. Don't worry transfer will be done.
inshallah your transfer will be done. Thank you.