Sainsbury ended his interest on Thursday but Krasner told BBC Radio Five Live's Sportsweek that talks with a consortium led by property developer Norman Stubbs were progressing well.
"They are the first consortium that consists of true Leeds United supporters," Krasner said. "That is why I have backed them, and I have not backed any of the other consortia as being serious.
"He (Stubbs) is a Leeds United supporter and he believes that we were once a great team and hopefully we can get back there again.
"They are very serious contenders. They have been talking to us for a couple of months and I believe that if anybody is going to come in with new investment, these will be the people to do it.
"We are going to be talking to the Stubbs consortium starting Monday morning and I am hopeful this will progress during the week."