Several reviewers are believed to have suggested that the rockers have "grown up" on upcoming third LP Humbug, due for release on August 24.
"I don't think mature is the right word, honestly," drummer Matt Helders told BBC Newsbeat. "Who knows? Next time the critics [will] be calling [us] immature because of the bar of maturity we've set."
Frontman Alex Turner added: "There is more to this record. Steve Lamacq just described it as tantalising, which I quite liked."
As previously reported, the band confirmed their return to live duties this week ahead of Humbug's release.