What can I do to correct my asymmetrical lips? (photo)

So my mouth slightly deviates to one side but that's because of an unfixable jaw issue. My lips however take this to another level, they sit off centre from the rest of my mouth too. When I smile, the line of my mouth is fine and looks quite symmetrical to my face. HOWEVER, my lips themselves want to stick to one side. I have to consciously pull the facial muscles on the lesser side to try to get a more even lip. Is there a way to correct this?