You can always start processing the refinance since you "may not" get laid off in two weeks.
If the lender calls to verify employment just before closing, and most do, and you have been laid off, the loan will not close. If you are still employed and the lender verifies you are employed and no one at the employer tells the lender you are employed today but will not be next week, the loan will close.
If the lender calls to verify employment just before closing, and most do, and you have been laid off, the loan will not close. If you are still employed and the lender verifies you are employed and no one at the employer tells the lender you are employed today but will not be next week, the loan will close.