The amount of notice can be important in a TWC case. Customer: I have an employee who put in a two weeks notice(Texas).We accepted the resignation and made it effective immediately due to many factors. I plan on moving in four weeks, however management wants my resignation letter now. I've been told I can work for another four weeks until my desired last day. Offering a 2-week notice in your resignation is "an offer". How to Use Two Weeks Notice Letter? You want to give at least a two weeks' notice. There is misnomer that prior notice is required to quit. This is called 2 weeks notice and it is not in law anywhere in the US.