The girl group - whose member Perrie Edwards is dating 1D's Zayn Malik - confessed that they have heard songs from the boyband's second studio record and were fans of the material.
Asked by Capital FM if they had listened to any new One Direction tracks, Jade Thirlwall replied: "I heard one. We heard a cheeky little song, but we're not allowed to say anything. It's brilliant. The fans will love it."
Talking about a possible collaboration, Leigh-Anne Pinnock said: "I think it would be really interesting - a Little Mix and One Direction [song]. Imagine what that would be like."
Jesy Nelson added: "I think we have different styles of music so I don't know how we would make it work. It might work - you never know."
Little Mix will release 'Wings' as their first single proper in the UK on August 26.
Watch the music video for Little Mix's 'Wings' below: