Tanning with a back tattoo?

I just got a tattoo of my lastname on my back, I understand I have to wait until it's fully healed to tan or anything. when it is healed, my question is, if I put sunscreen on it before tanning, will I have a white outline around the tattoo? because it'll be hard to trace the letters.. my last name is Bevilacqua. I don't want to have a square of white on my back.