The singer - whose latest project SuperHeavy features the Rolling Stones legend as well as Dave Stewart, Damian Marley and A R Rahman - is keen for them to play together during the opening ceremony of the London Games as she thinks it will be the ideal venue.
She said: "It's an exciting project but it is so hard to get everybody together in one place. But the Olympics would be great, the perfect idea. I'll ask him."
Mick recently revealed while he loves working with Joss, he finds the 'Fell In Love With A Boy' hitmaker "annoying" because she never stops singing.
He said: "She sings all the time, even when she's speaking. She's very funny, but can be slightly annoying after a while, and I have to tell her to shut up, 'Shut up Joss'.
"I do boss The Others, but in a way that they don't even know because I'm being so nice. But they also tell me to sod off and be quiet as well so it works both ways, you have to be ready for that."