Although, the Girls Aloud star has said she wants to work with 'everyone' on her second solo album.
The 27-year-old told Scottish newspaper the Daily Record: 'I really want to get into the studio and focus properly on doing something different and more edgy.
'I want to work with everyone at the moment. Music is great right now.'
Speaking on Dave Berry's ITV2 show after The Brits, Cole said that the wheels are finally in motion for her duet with Rhi Rhi.
The Promise This singer said: 'I'd love to do a record with her. She feels the same.
'There could be wheels, there could be motions. We'll see.'
And Cheryl, who revealed during the ceremony that the 22-year-old is her 'girl crush', could not hide her delight that the pair are friends.
She added: 'Rihanna was smokin' hot. I love her, she was the performance highlight. I love her, she loves us back.'