The rapper came to blows with the singer on the set of American Idol last month, days after they both signed to appear on next season's panel.
Asked by E! News whether she would duet with Carey on the show, she replied: "I would do that. I think people would be interested in seeing that."
Minaj will release a repackaged edition of her second album Pink Friday: Roman Reloaded - The Re-Up on November 19.
The collection will feature new cuts 'The Boys', 'Freedom' and 'Va Va Voom', as well as chart hits 'Starships' and 'Pound The Alarm'.
The new series of American Idol will begin in early 2013.
Watch the music video for Nicki Minaj's 'Va Va Voom' below: