According to The Mirror, Alex Turner and Jamie Cook's girlfriends Alexa Chung and Katie Downes will also go on the jaunt.
Drummer Matt Helders, Cook and Turner apparently took part in the same stunt in 2006.
"They are spending New Year's Eve in Australia and then going back to New Zealand for a couple of dates," said a source.
"Matt [Helders] has been reminiscing about their last time there and reckons they should have another go at sky-diving. So the girls had better have stomachs of steel."