Webb was previously trading director for Spar and director of buying for T&S. He joins Sainsbury from Costcutter where he was a consultant. McConville joins Sainsbury from Netto where he was a buyer.
Sainsbury said Webb and McConville would lead the category management function of the division.
Ged Carter also joins the c-store division as business unit director for store formats and marketing. He was earlier general manager for retail marketing and head of c-store brand management at The Co-operative Group.
Richard Lancaster, trading and marketing director for Sainsbury’s Convenience, said: “These appointments represent a significant step on our way to building a powerful, integrated convenience division.”