Lip snarls when talking. Can I do anything about this? (Photo)

Hi! I have an issue as far as when I talk one side of my mouth goes up much higher than the other side. I'm on camera often and it's really something I'd like to try to get corrected or at least improve. As you can see when I smile, it's not an issue. Any procedure suggestions or advise would be greatly appreciated! It may have worked for Elvis but it's not working for me.