Trigg pleaded guilty to three charges of draft tampering and breaches of player payment rules, and the Crows board will now meet to determine his future.
However, chairman Rob Chapman threw his support behind the embattled administrator on Friday night.
"I'm a personal supporter of Steven, and at our club we have a very deep and very wide agenda for the next couple of years," Chapman said.
"I think he's the best person to lead the club through that.
"But that is speculative. We'll just have to wait and see what the board finally decides over the next couple of days."
Chapman oversaw the forced resignation of recruiter Matt Rendell (for a controversial comment regarding indigenous players) in March, but said the situations of Trigg and Rendell were, "somewhat different; a whole different set of circumstances, a whole different set of reasoning."
The Adelaide chairman also said he accepted Trigg's explanation as to why he had kept the 2009 under-the-table agreement with Tippett secret from the club's board.
Speaking after his sentence was handed down, Trigg said he felt the penalty was harsh, and expressed his hope that he would be allowed to retain his position.
"It (the penalty) is unprecedented, and it's impossible to sit here without feeling that it's extraordinarily tough," he said.
"An example has been set.
"I very much hope that I can remain in the industry, and hopefully as CEO of our club, which I have served for the past 11 years."
Unlike Chapman, who offered a full and unconditional apology to "everyone associated with the Adelaide Football Club", Trigg's statement gave a clear impression he felt the breaches did not warrant the penalty handed down.
He pointed out that Adelaide had never exceeded the salary cap, and by way of apology, said: "As chief executive then and now I've accepted full responsibility for what the AFL considers to be a significant transgression of the rules, and for that I'm very sorry.
"The club has paid a very high price for an error of judgement."
Chapman also supported the retention of football boss Phil Harper, who was suspended for two months.
"I support the view that Phil should return to his role," Chapman said.
"I hope he does. But the board will make that decision."
AFL CEO Andrew Demetriou gave his backing to both Trigg and Harper, saying the pair still had a place in football.
"Steven Trigg, in my time of dealing with him, has been an outstanding contributor to the industry, and an outstanding CEO of the Adelaide Football Club," Demetriou said.
"And he's always acted, up until this point in time, with the highest integrity.
"He's very highly regarded. There were some outstanding testimonials provided at today's hearing.
"But he knows he made a mistake. In many ways it's an act of stupidity, because it's not in keeping with his performance and his character.
"He's a person of immense ability."
