The Coca-Cola Championship side have called a 1pm press conference and Megson, the former West Brom and Nottingham Forest boss, is believed to have beaten the likes of Peter Reid and Roeder to the post.
Megson, 48, has been out of work since leaving Forest in February 2006 and seems set to replace Martin Allen as the Walkers Stadium helm.
Allen left Leicester on August 29 after a difference of opinion with chairman Milan Mandaric.