N'Guessan is out of contract at Lincoln and is thought to be close to a move to Leciester City.
Lincoln are entitled to compensation because of the rules governing players aged 23 and under.
Lincoln Chairman Steff Wright hopes to get close to the £400,000 it's thought Leicester compensated Liverpool for Jack Hobbs.
He said: "We are in negotiations with Leicester City regarding a compensation package for Dany.
"The Leicester chief executive is away at the moment, but myself and Dave Roberts (Lincoln's chief executive) will be attending the Football League's annual meeting in Portugal next week. A lot of business gets done out there, as we're all in the same place.
"To our knowledge, Dany has not agreed terms with Leicester but, as he is a free agent, that is his business. He may well have done.
"For us to start negotiating a fee with Leicester is par for the course. That will be the fee if and when Dany agrees personal terms."