The trustees of Chelsea's charitable foundation have not yet agreed to take control of the club, BBC Sport has learned.
The billionaire, who would remain the club's owner, made the move amid Russia's invasion of Ukraine.
Members of the charitable foundation met on Sunday to discuss the situation.
But some have concerns over whether Charity Commission rules would allow them to run the club, and the foundation's lawyers are now exploring what can be done.
There are also understood to be some members of the foundation concerned about their legal liability if they agree to take on responsibility for running the club.