The singer said that she would love to duet with the teen superstar, as well as record a collaboration with Rolling Stones guitarist Keith Richards.
Ke$ha told V magazine: "The range of artists I want to work with is so vast, it's bizarre. I would love to have Keith Richards on the record.
"I would sure as hell like to do a collaboration with Bieber and at the same time do a song with The Flaming Lips. If someone is a real artist, you can't confine them to a particular genre. It's my mission to make it all make sense somehow.''
Ke$ha is currently working on the follow-up to her debut album Animal, which reached number one on the US Billboard 200 and number eight in the UK on its release in 2010.
The star recently hooked up with The Flaming Lips on new track '2012 (You Must Be Upgraded)'.
Watch the music video for Ke$ha's single 'Blow' below: