Does wearing a "quit smoking" patch while on birth control cause blood clots?

I know when using birth control you are not supposed to smoke because of the horrible side effects including blood clots. I am trying to quit smoking and was wondering if wearing a patch such as Nicoderm CQ would have the same side effects as if I were to actually smoke. I am currently on Loestrin FE and am worried of running the same risks as an actual smoker.