Lip vitiligo is a type of segmental vitligo. Treatment options include steroids, psoralen photochemotherapy(PUVA),depigmentation and surgical therapy like skin grafting, micropigmentation or tattooing and autologous melanocyte transplants. You should discuss these treatment options with your dermatologist.
It is very difficult to precisely confirm a diagnosis without examination and investigations and the answer is based on the medical information provided. For exact diagnosis, you are requested to consult your doctor. I sincerely hope that helps. Take care and please do keep me posted on how you are doing.