The meeting was scheduled before Moody was placed on gardening leave and replaced by a 23-year-old family friend of the club's Malaysian owners and, although Vincent Tan is not expected to be present, the move is certain to be discussed following a turbulent week in south Wales.
Moody's departure, which allowed Kazakh Alisher Apsalyamov to step in, was reported to have angered City boss Malky Mackay, who worked with Moody to bring in Steven Caulker and Chilean midfielder Gary Medel over the summer as the club prepared for their return to the top flight for the first time in 51 years.
Cardiff have denied reports Mackay was asked to leave his post and insist he has the full backing of the club, but there are sure to be questions as to how Moody was replaced by someone with no experience in football.
And the Cardiff City Supporters' Trust is concerned their highly-rated manager could be next out of the door.
Chairman Tim Hartley said: "Fans will be concerned with the recent behind-the-scenes developments at Cardiff City which appear to put into question the future of our manager, Malky Mackay.
"Supporters are surprised that someone who appears to have little hands-on experience has been put in charge of transfers at the football club.
"Fans want Malky Mackay, who has done a fantastic job as manager taking the club to the Premier League, to remain at Cardiff City.
"We don't want to see any action taken to undermine his position as manager and Cardiff City's efforts to have a successful first season in the top division."