Bob Dylan once considered bringing the Beatles and the Rolling Stones together for an ambitious album project - but Mick Jagger and Paul McCartney vetoed the idea.

In his new memoir, Sound Man, revered producer and engineer Glyn Johns recalls a meeting with Dylan in the late 1960s when the folk rock icon asked him about the validity of the idea.

In an extract obtained by Rolling Stone magazine, Johns writes, "He (Dylan) asked me about the Beatles album I had just finished and was very complimentary about my work with the Stones over the years. In turn, I babbled about how much we had all been influenced by his work.

"He said he had this idea to make a record with the Beatles and the Stones, and he asked me if I would find out whether the others would be interested. I was completely bowled over. Can you imagine the three greatest influences on popular music in the previous decade making an album together?"

Johns immediately reached out to the members of both British acts and received positive feedback from Keith Richards and George Harrison, while Ringo Starr, Charlie Watts and Bill Wyman told him they were up for the idea "as long as everyone else was interested".

The producer adds, "John (Lennon) didn't say a flat no, but he wasn't that interested. Paul and Mick both said absolutely not."

Johns admits he was shattered when he realised the dream project would not come to fruition: "I had it all figured out. We would pool the best material from Mick and Keith, Paul and John, Bob and George, and then select the best rhythm section from the two bands to suit whichever songs we were cutting... I would have given anything to have given it a go."