The 70-year-old actress has just one tattoo, a small Native American-inspired design of interlocking 'Vs' on her left hand which she had done when she was young.
Mirren, however, is now open to the idea of getting a bigger tattoo.
"I want to get another one, actually. I'd like a whole sleeve. As you get older, I think it's a better and better idea," she Radio Times magazine.
"Some sort of curving pattern running up my arm. Maybe a snake. I quite like snakes.