Corfin co-founder Harry Chathli said the agency would expand its board from three to four members to accommodate Hunt, who will have the option to buy equity in the firm.
Corfin's other board directors are Chathli, veteran financial journalist Neil Thapar and former Investec Henderson Crosthwaite corporate finance compliance review director Will David.
The FT said it was yet to find a replacement for Hunt but would appoint a new editor and press on with Digital Business.
News of his imminent departure follows the ousting two weeks ago of FT editor Andrew Gowers, who has been replaced by the paper's US managing editor, Lionel Barber.
Digital Business was one of several Gowers-backed changes to the FT's format designed to turn around flagging circulation.
The revamp of the IT section saw it focus more broadly 'on how global business people can make technology work for their business, the business of technology, and global developments in the IT and telecommunications industries'.