If you are in a situation where you are changing jobs and need to process new paperwork, you will need to be highly proactive!
@Tod ********
is right, if you are currently on a soon to expire / cancel Non-Imm B extension (as the law stands) you will need to do that outside of Thailand. The only chance to change this is to get your employer (pref someone high up) to push for an exemption during this crisis. If you leave it up to a recruitment agent or admin staff to fight in your corner...game over! The more noise everybody in this situation makes, the quicker common sense may prevail. If you just sit quietly in the corner letting someone uninterested / inexperienced take care of you application, no chance... P.S. I am on a Non-Imm B teaching extension and changing jobs soon too ;)