Accepting a resignation early without paying the employee for the notice period can have consequences, if the employee gave more than two weeks' notice. The employer is required to accept your resignation, but doesn't have to accept the offer of 2-weeks.Under the Texas Education Code, contract employees are required to resign no later than 45 days before the first day of instruction for the school year. This job aid describes the process for submitting your resignation letter. No advance notice of termination or resignation is required. When there is an advanced notice of resignation, i.e. If your employment is ending at UT Southwestern, or one of your employees is leaving, here is some helpful guidance. Failure to complete a required drug screen in the allotted time may result in the withdrawal of your conditional offer of employment.