The X Factor 2011 champions confessed that they are hoping to record with the iconic pop act after watching their reunion at the London 2012 Olympic closing ceremony.
"We'd love to do something special with them," Jade Thirlwall told i-D magazine. "We met Emma Bunton at a dinner last year and we were really starstruck and quiet. We should have asked her then."
Little Mix are currently preparing to release their first single proper 'Wings' in the UK on August 26.
US producer Jim Beanz recently likened the pop group to an early Destiny's Child and insisted that they can be just as successful in the long run.
"Our chemistry was interesting because I used to be in a group years ago, so I was quite good at making sure they belong together," Beanz told Digital Spy.
"They are four little stars and it's all so new to them, but they really listened well."
Watch the music video for Little Mix's new single 'Wings' below: