The girl group managed to sell more than 68,000 downloads of their X Factor winner's single 'Cannonball' within 24 hours of it being available to buy, reports Music Week.
The huge sales puts them 38,000 copies ahead of their nearest rivals, which are currently Coldplay's 'Paradise' and Leona Lewis's 'Hurt'.
The first-day sales are significantly lower than 2010 X Factor winner Matt Cardle's single 'When We Collide', which nabbed the Christmas top spot last year.
However, this year's X Factor winner's single has been unusually released two weeks ahead of the Christmas number one song being announced on December 25.
This means Little Mix will have to retain the pole position on the chart for two weeks in order to become the 2011 Christmas number one.
Meanwhile, Damien Rice's original version of 'Cannonball' is on course for a chart return and is currently hovering just outside of the top ten.
The official midweek chart will be announced tomorrow (December 14) at 4pm.
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Watch Little Mix performing the winner's single 'Cannonball' below: