I Have Cancer & Company is Laying Off, Do I Tell Them?

Dear Experts, I've just been diagnosed with breast cancer. It was caught early and my doctor says I won't miss much work. I have plenty of sick time, so I could keep it a secret and take days as needed, but I think I'd rather they know why I'm out so they aren't thinking I'm interviewing. However, the company just announced they are going to have to do some cuts this month. My boss assured me I'm not included in them, but it still makes me hesitate to tell them. If tell, could they decide I should go? What do I do? Our Twitter Advice Project (T.A.P.) is no longer an active campaign. To find an answer to the above question, please use the "Search" box in the right-hand column of this website.