Car Seat Headrest, a little-known US indie band, are said to be the 007 actor’s tip.
According to the Daily Star, part of the actor’s deal to return to the franchise was more creative control - including sway over who records the theme tune.
“Daniel is a big music fan and loves Car Seat Headrest,” a source told the paper.
“Part of signing on for more Bond was more involvement in all aspects of production, including the theme song.
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“Daniel was instrumental in getting Adele to sing Skyfall and suggested Radiohead for Spectre too, whose song did not get used in the end.”
Car Seat Headrest recently released their 13th album, and Craig is thought to have taken the cast of his latest movie Logan Lucky to see them performing live.
He finally confirmed his return to Bond on The Late Show With Stephen Colbert this week, after months of speculation.
Asked point-blank if he’ll be back, he said simply: “Yes.”
Daniel Craig back for Bond
"We've been discussing it, we've just been trying to figure things out," he added.
"I always wanted to, I needed a break."
The new movie is out in 2019.