Lee is in trouble over reported comments claiming that Anthony Stuart had lost his job as New South Wales coach because he was made the scapegoat for the alleged deficiencies of Gilbert and the Cricket NSW hierarchy.
"I think the blame for a lot of things has been unfairly dumped on Anthony Stuart," Lee, 36, told the Sydney Morning Herald last week.
"It should have been at the top, Dave Gilbert. He should've been made to go in my opinion.
"Cricket NSW is all about leadership, and while that comes from the coach, it comes from the top, too, and I believe for the last five or six years NSW has seriously dropped the ball."
Cricket Australia said the former Test fast bowler was reported by Cricket NSW for allegedly breaching the CA code of behaviour.
Under the code, players must not bring the game into disrepute or engage in behaviour harmful to the interests of cricket.
The date and time of the hearing is yet to be confirmed.