The pair recently stepped out hand in hand for the premiere of Depp's latest blockbuster The Lone Ranger, but Heard states that was a rare one-off for snappers - and she has no plans of going public with her very private romance.
She tells the new issue of Flare magazine, "It’s not part of my professional life. I want to be an artist. I don’t want to be a celebrity.
"You can find pictures of me pumping gas, picking up dry cleaning, walking my dog, but nowhere are you going to find pictures of me hanging around at some nightclub... Can you ever imagine yourself in a situation like Brad Pitt and Angelina Jolie or Kim Kardashian and Kanye West, where the world feels like they have a stake in your private life? I would never want it."
But Heard also insists she won't stop doing what comes naturally just to avoid getting snapped: "I guess I could not hold hands with who I want to, but what kind of life would that be? I don’t want to change just because people are watching."