Please accept my sincerest apologies for being unable to provide you and the Davidson Team with a notification that includes a minimum two-week notice. Illinois is an at will state so unless you signed a contract, you don't even have to give them a notice.It's time to quit the job, and you're not giving two weeks' notice. Here's how to politely write a resignation letter, effective immediately. Atwill employees can quit at any time with no notice. However, it is customary to give two weeks notice (or even more if you hold a high level position). Learn how to craft a professional resignation letter without notice with our guide. A twoweek notice period is standard, but not required. You can give however many weeks worth of notice that you feel is appropriate. Clearly state the resignation, the last working day, and any necessary details.