Remedies for very dry lips?

For a few weeks now my upper lip has been completely dry, no matter which cream I use or how often. I’ve always had a dry lower lip, because I tend to chew on it when I’m anxious, ruining my skin, but I’ve never experienced this on the upper one….Have any of you? Could it possibly be an early symptom of Herpes labialis?
If you’ve had something similar, did you manage to get rid of it? How?