The band supposedly want their mentor to perform with them at London's Wembley Arena if they make the final on December 10.
Speaking about the N-Dubz star, Little Mix member Jesy Nelson told British newspaper The Sun: 'She is so passionate about us. We're so close to her and I just love her to pieces.'
While Little Mix might be dreaming of making the final, Tulisa has revealed that boss Simon Cowell is backing the group to win the show.
The 23-year old told The Mirror: 'Simon rang me at home one night to chat about the show, telling me things he wanted me to work on to keep the programme as fresh as possible and things he liked, which was nice to hear.'
She added: 'He told me that he really liked the girls. He actually said he's backing them to win. They're all really nice girls.'