The band have already released a remix album TKOL RMX 1234567 featuring reworkings from SBTRKT, Modeselektor, Objekt, Anstam and others.
On their official website, the band said: "Hello! Here are three remixes by Anstam, Nathan Fake and Jamie xx that sadly didn't make it in time for the vinyl release.
"We wanted to get them out because we're big fans and wanted you to hear them too."
The remixed tracks 'Bloom', 'Separator' and 'Morning Mr Magpie' are available to buy now from the official Radiohead store.
The band's frontman Thom Yorke last month confirmed that they would return to their Oxford recording studio in December to start writing new tracks.
Radiohead have also unveiled plans to play songs from The King of Limbs at a series of live shows next year.