Conte is on the brink after defeat at Watford last night.
Carragher believes Conte might have lost the support of his players just as Jose Mourinho had.
He told Sky Sports: "You have to look at again, as we saw with Mourinho, is there now a discord between the players and the manager?
"It was a shambles really.
"Watford, even 11 against 11, were by far the better team and should have been a goal or two up.
"However, as soon as Watford stepped they just fell apart at the back and that is nothing that you associate with Conte teams."