The duo, who are currently working on the follow-up to their 2010 debut Happiness, teased that "more guitars" will feature on their new material.
However, when asked who they would most like to collaborate with, singer Theo Hutchcraft named the former Oasis star as their ideal duet.
He told Absolute Radio: "We love Noel. He's one of the only people who has influenced us to write music and we love The Horrors so much. They really influenced our record when we made it."
Speaking about Gallagher receiving the 'Godlike Genius Award' at the NME Awards 2012 last night (February 29), Hutchcraft praised the songwriter for influencing modern bands.
He added: "He's one of the greatest living rock stars and he's a real tribute to Britain. He's still relevant and he's still cool! The bands all here today wouldn't be here without him, so he's important."
> Noel Gallagher unveils Amorphous Androgynous collaboration - listen
Watch Absolute Radio's full interview with Hurts below:
Click through pictures of last night's NME Awards 2012 below: