Bolton later arrived at the club with his manager Tom Petroro.
It is understood that at least some of Carlton’s board members are losing patience with the coach, who has an unconventional employment agreement with the club that would still require a payout if he was sacked.
LoGiudice was extremely disappointed by the latest performance on Sunday afternoon.
Blues players and coaches were conducting regular meetings and reviews on Monday at the club after their dismal loss to Essendon on Sunday, but Bolton is under massive pressure to keep his job.
The 41-point loss to the Bombers was Carlton’s 39th defeat from their past 43 games, with just one win from 11 games in 2019.
Anthony Pratt, the son of Carlton board member and benefactor Jeannie Pratt and of the late president Richard Pratt, tweeted that the Blues should chase Hawthorn master coach Alastair Clarkson or AFL legend Leigh Matthews to replace Bolton.
Pratt has never held a position with Carlton.
The recent departure of Brad Scott from North Melbourne has changed the coaching landscape, with Bolton one of a number of coaches under pressure.
After Sunday’s loss, Bolton said: “I’m human, I’m frustrated, I’m determined as ever, invested in trying to help our staff and players.
“[But] my main worry is not about myself. I think what happens is, if you’re under pressure, or you’re feeling heat, the easiest thing to do is to go internal.”
Carlton’s score of just 33 points against Essendon was the second lowest for any team since 2015.
Jake Niall is a Walkley award-winning sports journalist and chief AFL writer for The Age.