You probably answered your own question. The one's that you're landing, the hook is probably like a half inch down from it's lip where the cartilage is a little thicker than near the lips. Hooking a fish near the lips is more than likely elongating the hole near the lip during the fight or even at hookset (no need to swing for the fences if you don't need to). It's gonna happen especially when you fish heavier jigs that the jig will fall out during the fight. The good news is, you're hooking them, the question you have to ask yourself, do you really want ot wait a little longer before setting the hook to make sure that jig is down further and risk losing the fish?
Eventually you'll get the feel for it and it won't be as much of a problem. Jigs, more than any other lure, takes more concentration to fish with. JMHO. I really don't think you should change anything you're doing. You already know that you can hook a fish on a jig and it's already in the back of your mind that you need to play the fish with a little more caution. Keep at it and it will come together for you.
Good Luck!