The 25-year-old, who starred opposite Timothee Chalamet in the hit 2025 comedy-drama film, recorded her part in the Stones' next video in London last week.
"The video represents the Stones through the ages," a source told The Sun newspaper.
"There's a lot going on. They brought in lots of extras to represent subcultures and sonic histories.
"The idea is it blends everything from blues souls and punk kids with old school rockers and Northern Soul dancers.
"Then there's a load of glam rock attitude and DIY chaos to echo the legacy of the Stones.
"Odessa is at the centre of it all."
The legendary rockers previously cast Sydney Sweeney in the video for Angry, their 2023 single.
Euphoria and The White Lotus star Sweeney wore black studded chaps and a corset in the video, and subsequently admitted to feeling "hot" despite external criticism of her look.
"I felt hot. I picked my own outfit out of racks and racks of clothes. I felt so good in it," Sweeney told Glamour.
"I'm in a Rolling Stones video. How cool and iconic is that? I felt so good.
"All the moves, everything I was doing was all freestyle. I mean, who else gets to roll around on the top of a convertible driving down Sunset Boulevard with police escorts?
"It's the cool things in this career that I had no idea I'd get to do."
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