Super soft Jammies for Your Head! Sleep caps for cancer patients. Even in the summer most women like to wear a soft, light-weight sleeping cap during chemo for a more comfortable night's sleep. If you are experiencing hair loss due to chemotherapy, alopecia or other medical hair loss, you know that it's true that you lose most of your body heat out the top of your head. You'll find a large variety of chemo sleep caps here to keep you cozy at night any time of year.