The band admitted that they have written a track they think would suit the 'How We Do (Party)' chart-topper and hope to get her in the studio.
"We've written a song which we think would be perfect for Rita. Can you put in a good word?" drummer Adam Pitts asked the Daily Star.
When told the proposal, Ora laughed: "I know those guys, they're cool but I need to hear the song first."
Meanwhile, Lawson have announced plans to reveal the title and release date of their debut album on Wednesday (August 22).
Watch the music video for Lawson's 'Taking Over Me' below: