The Guardian says Moyes, the incoming Manchester United manager, is set to appoint Phil Neville, Steve Round, Chris Woods and Robbie Cooke to his backroom staff, with all four taken from his former club Everton.
Neville, who made almost 400 appearances for United before joining Everton in 2005, is expected to replace Rene Meulensteen as first-team coach. The 36-year-old, Moyes's captain at Everton, had expressed interest in taking over as manager at Goodison Park.
Round, who has been Moyes's assistant manager at Everton since 2008, should take Mike Phelan's position. Woods is in line to take over from Eric Steele and Cooke, the chief scout at Everton, is likely to replace Martin Ferguson.