The Italian owner also said that one of the interested parties is a Leeds-based businessman who is keen to go into partnership with him, having previously attempted to buy the club.
Sky Sports are reporting that Steve Parkin, multi-millionaire owner of Clipper Logistics Group, is interested in buying Leeds. He previously attempted to buy Leeds in 2013.
Cellino said: “What happens to my club is important to me. I keep my business affairs private. That does not mean I am about to buy Leeds.”
Cellino has said he would prefer a buyer to be Leeds-based.
There is no word yet on the identity of the five other bidders.