"I’m a big fan of that show and I have been for a long time, even before we put the band together,” he added.
In the episode, which will air on Saturday 5 November, the band reportedly took their time to make sure they got the performances just right, recording for almost two hours.
"Gotta make this one count," said Turner of the show.
The show will feature performances from the latest album, including their second single, “Body Paint”.
In particular Turner said that he enjoyed going through the archive of past performances on the show in aid of choosing one that had inspired him.
"I kind of lost myself in the archive back there for a minute,” he said.
"I found myself gravitating to performances from 2002 and going, ‘Oh God, yeah, I remember seeing that and getting excited about it,” he added.
Arctic Monkeys at Later…with Jools Holland is available to watch on Saturday 5 November on BBC Two.