Mourinho was in prickly mood after the game and Chelsea are now a whopping 14 points behind league leaders Manchester City, who extended their advantage with a 2-1 win over Norwich City on Saturday.
The Chelsea boss has used a litany of excuses and diversionary tactics in his post-match media dealings this term to try and mask his side's failings, but the reality is that neither he nor his squad have been anywhere near the required standard for a team with designs on recording their second successive title this term.
Chelsea's fall from grace has been as perplexing as it is frustrating for Blues fans this term, given that Mourinho has largely stuck with the same squad who cruised to the title last term.
However, Mourinho's penchant for excuses, coupled with the loss of form to key players such as Eden Hazard, John Terry, Branislav Ivanovic, Nemanja Matic and Cesc Fabregas, to name just a few, have seen last year's runaway winners reduced to also-rans already.
Carragher believes that Mourinho retains a status as one the world’s elite managers, but the former defender, who represented the Reds 737 times prior to his 2013 retirement, has been far from impressed with the Portuguese’s antics, particularly after the loss.
Carragher told Sky Sports: “He has to change some things and these interviews have got to stop, because they’re embarrassing him and they’re embarrassing the club.
“Maybe he’s trying to create a siege mentality but I don’t think the players would be totally agreeing with the manager, blaming referees. Chelsea were very poor at the weekend.
“This paranoia has got to stop, that the world is against them because they’re not. I’m a massive fan of Jose Mourinho and I’d like him to stay because there’s been too many changes in the past at Chelsea.
“These players performances have been shocking. It’s about time we took more of a look at them. The manager is always in the spotlight.”
Chelsea host Dynamo Kiev in the Champions League on Wednesday before a visit to Stoke City this weekend.