Mirren, 69, said she wants to play a "mad driver" in the movie, reported Ace Showbiz.
"My great ambition is to be in a 'Fast and Furious' movie. I so want to be a mad driver in a 'Fast and Furious' movie. My claim to fame is I always do my own driving - I was on 'Top Gear', and I did (my lap) in a very good time.
"I keep putting it out there, and they never ask me. I'll be in 'Fast and Furious 8'," she said.
"I have to say Vin Diesel is brilliant. I love Vin Diesel. He's a great guy, smart - I love him. It's partly because of him I'd like to be in one, but also the driving. I'd also love to do another 'Red'-type movie, because those are such fun to do."
The latest "Fast and Furious" installment "Furious 7", starring Vin, Paul Walker, Dwayne "The Rock" Johnson, Michelle Rodriguez and Jason Statham, is set to be released April 3.