Is it safe to stay on nicotine patches indefinitely?

No. Nicotine. patches are designed to quit smoking, which is a short-term project, at least the physical part of the problem. Nicotine is a stimulant and an addictive one at that. Don't stay on nicotine in any form longer than necessary, in this case to drop taking in nicotine in some other way (cigarettes, dipping, etc.). Continuously driving your body with a stimulant is bad medicine.