The Coldplay frontman personally approached the 'Rude Boy' hitmaker to ask if he can submit some tracks for her next album because he is such a big fan of her.
He told Fresh 102.7 New York radio station: ''I don't even think she asked. I just said, 'Please can I try something?'''
Despite his impressive back catalogue, the singer/songwriter - who previously collaborated with Rihanna on the Coldplay track 'Princess of China' - is still worried his songs won't make the final cut.
He said: ''She has so many amazing people writing for her. It's like trying to win 'American Idol', getting a song on Rihanna's album.''
Chris - who split from his wife, Gwyneth Paltrow, earlier this year - confirmed him and Rihanna have been working in the studio together.
The 37-year-old musician - whose hits with Coldplay include 'The Scientist' and 'Fix You' - said: ''I love being in the studio with Rihanna. It wasn't necessarily with ... I was working for her.''
Chris also revealed he wants the 26-year-old pop superstar to appear on Coldplay's next album.
When asked if she would be making an appearance, Chris said: ''I hope so, yeah. I have a really nice song which ... maybe, I hope so.''
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