A source said: ‘George half-finished loads of songs and often just forgot about them. There is probably an album’s worth of material.
‘Jeff and George were very close and worked together a lot in the later period of George’s life. He’s the right man to work on the material.’
Only recently, Harrison’s widow Olivia revealed she wanted to do something with her husband’s incomplete songs.
She said: ‘There are lots of tracks. Some are closer to completion than others and with those I’d ask for help.’
This will not be the first time Lynne – who is best known as the frontman of the Electric Light Orchestra – has worked on new material by a Beatle.
The 61-year-old guitarist produced The Beatles’ 1995 single ‘Free As A Bird’ – which featured the vocals of the late John Lennon taken from a demo he had written and recorded in 1977.