According to the publication Tyden, in the near future, representatives of the businessman will contact the leadership of Chelsea to discuss the issue of buying the club.
Kellner's fortune is estimated at $ 15.5 billion.
In addition, the deal can be accelerated by the fact that the Czech businessman is on good terms with the current owner of the London team, Roman Abramovich.
Abramovich bought Chelsea in 2003 for £ 140 million.
Earlier, Chelsea head coach Maurizio Sarri said that he asked his assistant to apologize to Jose Mourinho.