Parallels are often drawn between the pair due to their career beginnings. Like Rihanna, Ora was signed to Roc Nation as Jay-Z's protegé and has worked with some of the same songwriters, including Drake.
Ora told MTV: "I take it as a compliment, the comparison is a great one. It's not like it's someone I'm not a fan of, so I'm happy to be compared to someone like that."
Asked if she would like to team up with the Bajan performer, Ora replied: "Doing a feature with her would be so cool. The video would be kinda hot.
"I'd be, like, chasing Rihanna the whole time... I'd be like come on, man, give me a shot, man! Let me just take you out!"
She added: "No, I'm joking; I'm very, very much straight."
Ora will release 'R.I.P.' as her debut single in the UK on May 6, while 'How We Do' will be her first cut in the US.
Watch the music video for Rita Ora's 'R.I.P.' below: