I have factor v making me prone for clotting. Will Coolsculpting raise my risk if I have the procedure to my abdomen area?

I previously had a dvt 20 yrs ago, and was since diagnosed with factor v homogeneous. I'm ready to commit to the coolsculpting for my abdomen, but concerned about increasing my risk of a clot. I'm not on and thinners, I was taking the birth control pill at the time of the clot and have not had any reoccurance since that time.