Can I use a yoga mat for pilates?

I recently started doing pilates in my finished basement (meaning carpeted floors) and I found that my hands and feet were slipping on the carpet. I have a yoga mat...could I use that just to make the carpet less slippery? The carpet is very rough as well (it had to be durable because my mom uses the basement for her daycare) so having my bare hands/elbows/knees on straight carpet isn't very comfortable.