How long does it take a conch piercing to heal to the point of being able to sleep on it?

if i were you I'd wait a few weeks. I recently had my auricle pierced and it hurt to sleep on it for almost a month but i was able to if i wanted to... just make sure it doesn't get caught on blankets or anything. another thing i did was i propped my self up in a certain position so i wasn't actually ON my piercing when i slept... maybe that would help you