Last updated on .From the section Chelsea
A female football finance agent was the recipient of inappropriate messages from Damian.
He joined the club last month.
Kim was involved in the attempt to purchase the club.
The club confirmed that Damian was no longer employed by the club.
The club has recently received evidence of inappropriate messages sent by Mr Willoughby prior to his appointment at the club.
The workplace environment and corporate culture being established by the club's new ownership is adversely affected by such behavior.
The investment group led by Todd Boehly and Clearlake Capital took control of the club last month.
Willoughby worked for a number of sports teams, including Manchester City. Less than a month into the job, he has been fired.
The Telegraph, which first reported the story, said that Kim highlighted the messages to Chelsea's head of business, Tim Glick, who hired Willoughby.
C&P Sports Group was involved in Nick Candy's bid to purchase the club after it was put up for sale.
The club's owners are working hard to achieve the highest standards both on and off the pitch, and are determined to establish and nurture a culture of transparency, accountability, inclusivity, diversity and opportunity.
The club wants to create an environment that embodies these values.