The answer is you should not be in jeopardy due to the new job, if you have a competent mortgage broker working with you they will explain the process in much better detail than we realtors can. If you are in need of one, I have several I work with that could help you. Feel free to contact me directly for their information.
Your ability to qualify for a mortgage depends largely on your source of income, but your good credit history most definitely helps. Most lenders will also ask for your last two tax returns to show stability of past income. The best thing you can do is find a good REALTOR in your new city. A knowledgeable agent will be able to connect you with great local lenders who can walk you through the process. How to pick an agent in the new area? If you had an agent in your previous city that you trust, they can help connect you with a helpful agent in the new city.
You would have to speak to a lender but I think as long as it is in the same field as the previous job, you might be okay. Call a lender you trust and ask, they would be most qualified and can review your history with you.