If you are still employed, show that you are respectful by letting the interviewer know that you want to give a two week notice. This shows you care about your work and that you're not the type of person who would quit as soon as something better comes your way.
"I'd love to start immediately, but I need to give my two weeks notice."
"I plan on moving to the area in 2 months. I can start right after I move. How is 1 July?"