The band's longest-serving member was forced to hold her skimpy top together as it fell open during a performance of 'Freedom'.
Range later tweeted: "My shirt popped open in the middle of freedom on This Morning! Had to dance with one arm keeping it together! X (sic)"
During an interview on the ITV1 show, Range also revealed that the group had trouble getting out of their latex outfits after their performance at London's G-A-Y club last weekend, admitting: "It was hard getting it on and off!"
The Sugababes release 'Freedom' on September 25. Their eighth studio album follows next year.
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Watch the music video for the Sugababes' 'Freedom' below: