The duo posted a photo of an orchestra in a recording studio on their official Facebook page.
They wrote: "Ladies & Gents. We are deep in the process of completing our album. The end is coming closer but there is one final piece of the puzzle missing."
The group are also offering 20 fans the chance to sing with them today (October 24), explaining: "We would like 20 of you to join us for a very special and unique experience. If you live in or around London and are free on Wednesday 24th October, then click the following link to find out more."
Hurts released their debut album Happiness in September 2010, when it peaked at number four on the UK charts and entered the top ten across Europe.
The LP spawned the hit singles 'Better Than Love', 'Wonderful Life', 'Stay' and 'Sunday'.
They recently revealed that they would like to collaborate with Noel Gallagher, insisting: "He's the greatest living rockstar."
Watch the 'Wonderful Life' music video below: