Faithfull (starting Sunday, July 8) and Rodigan (from Sunday, August 5) will each present the show for four consecutive Sundays (4-6pm) and share insights and anecdotes garnered over their years in the industry.
Paul Rodgers, head of BBC Radio 6 Music, said: "It is fantastic to have such legendary talent sharing their expert knowledge and passion for music on A Month Of Sundays, guaranteeing listeners an incredibly diverse musical experience."
Rodigan and Faithfull follow in the footsteps of Mark Ronson and John Cooper Clark in presenting this slot. Jarvis Cocker's Sunday Service will return to Radio 6 Music on September 8, 2012.
Also in July, a brand new series of The First Time with.... featuring Wayne Coyne from the Flaming Lips (July 8), Sinead O'Connor (July 15), Slash (July 22) and Simon Le Bon (July 29) will be presented by Matt Everitt.