Carragher says Slot will be dismissed if Liverpool fail to qualify for the Champions League this season. The former defender insists last season's Premier League title triumph won't save the Dutchman.
Carragher said on Sky Sports: "We're seeing a team not suited to the Premier League. But when we see them in Europe, are set pieces and long throws as important? No. Is counter-attacking as important? Counterattacking is always important, but not as much in Europe, and nobody is just sitting there in a low block. So this suits Liverpool.
"They can beat Real Madrid, they can go away to Inter Milan and win, go away to Marseille and win and they'll finish in the top eight and be in the knockout round.
"Liverpool, I think, as a club and support, can accept a collective responsibility around 'we're not going to win the league this year, and we're not going to challenge. Not good enough but we accept it'.
"Once you start fearing Champions League qualification for next season, that's when I feel we've got a different proposition when we're talking about the manager's job. That, for me, is completely different.
"Not winning the league or challenging for the league, that is a collective responsibility, and Liverpool don't win the league every year. Not making the Champions League from champions, spending £450million and having the highest wage bill, which is the biggest determining factor normally about where you finish. I think you've got serious questions."
On Slot directly, Carragher added: "I think some of the criticism he's had and disrespect from Liverpool supporters that I see and know, is far too much considering he won the league last season. But if you don't qualify for the Champions League having won the league and spent as much as Liverpool do, I don't think you've got a leg to stand on."