Laura,
In answer to your question from last June, 2009, for CMML patients whose white blood cell count skyrockets out of control, the clotting ability of the blood also is lost. It's therefore easy to bleed. Gums can become inflamed and bleed. Bruising is common. The simplest cut can get infected because the blood is not able to carry the right kind of cells to fight off bacteria and viruses.
Keep searching the internet for sights, such as the Leukemia-Lymphoma one, to find out more.