As of right now, there are no announcements to be made, just a media availability. None of the three are scheduled to be at the podium at the same time. With no practice for football and limited practice for basketball, this will be the regular weekly media appearance for both coaches.
Barnes has addressed the media prior to Jones' Wednesday sessions on a couple of occasions this year, as have other Tennessee head coaches. The volleyball coach went last Wednesday. It's a courtesy to the media, who can come and set up all at one time and get sound from a variety of people.
Hart hasn't spoken publicly in awhile, though he has done interviews with media members. The press conference is a chance for him to answer a variety of questions on a variety of topics.