That manager who moans about everything, thinks the whole world is against him and tends to wallow in self-pity when it suits him.
Some people still tend to forgive Mourinho for his shortcomings, citing the countless trophies (25) he has won around the world at some of the biggest clubs.
But despite all his recent success, Klopp doesn't command that same luxury just yet. One league title and a Champions League with Liverpool doesn't give him the right to start acting like English football is all about him.
In the space of a few months Klopp has changed from that man with the goofy smile and geniality, to someone capable of picking a fight in an empty room.
He has complained about the injuries to his squad, the fixture scheduling, VAR and the failure of clubs to vote in favour of having five substitutes per game once again. He's ranted at referees without being sanctioned and even felt the need to have a row with a reporter on live television.
The German has been at it again this week, moaning about the decisions that went against his champions in the 1-0 defeat at Southampton, a result that means Klopp's side have now taken just two points from the last nine available.
Klopp needs to give his head a wobble, even if it means his halo slips faster than his team's chances of retaining their Premier League crown.
When and why did Klopp decide the world had turned on him?
Klopp needs to get some perspective, because the novelty of him is wearing off fast. His disguise has worn thin.
Aside from the fact the nation is back on its knees in lockdown again due to a spike in Covid-19 that is claiming countless lives, the footballing neutral has retained a deep affection for what Klopp and his team have achieved in recent seasons, not to mention the manner in which that success came.
Yet this backdrop appears to mean little or nothing to him - and it's not a good look. Klopp is in danger of damaging his club's image and his behaviour is now tiresome.
Considering his current mental state, perhaps a return to Aston Villa in the FA Cup third round on Friday is not the best place for him to be heading. The last time Klopp stood on the touchline at Villa Park he saw his all-conquering heroes let seven goals in.
But perhaps the most concerning aspect of his latest meltdown at St Mary's was that he chose to take a swipe at Manchester United without even being prompted, claiming his biggest rivals get more penalties than Liverpool do. They do, but so what?
It was reminiscent of Rafa Benitez's infamous 'Facts' outburst against Sir Alex Ferguson in 2009, or further back, when Kevin Keegan insisted he 'would love it' if his Newcastle side beat United to the title in 1996. They didn't.
Who knows how it happens, but no club comes close to United when it comes to getting into the heads of rival managers - and Klopp looks like he's become the latest victim.
For the first time since Sir Alex Ferguson retired in 2013, United are challenging for the title and the sight of them in his rearview mirror is making Klopp put the brakes on rational behavior.
Klopp wouldn't have stood a chance in a psychological scrap with Fergie.
Ole Gunnar Solskjaer isn't in the same league as the Scot, but it looks like he doesn't have to be. When it comes to the art of mind games, it feels like Klopp is beating himself.
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In a footballing sense, perhaps the biggest price the game has to pay for having the pandemic in it could well be this weekend in the FA Cup.
This round of fixtures has become one of the most iconic in the game; when the haves come up against the have-nots; when David tries to slay Goliath.
When locals get to see the likes of Harry Kane line up against a plumber on a pudding of a pitch, or the great and the good get to sample how those in the real world live.
The third round is all about fantasy and fairytale and the competition has thrown up some of the most incredible fixtures in history this time around, like Marine versus Tottenham, Crawley hosting Leeds and West Ham travelling to Stockport County.
But the above-mentioned fairytales are at the mercy of Covid-19 as it threatens to run amok through the competition.
There will be no fans, some games will be postponed or even forfeited if a team cannot field enough fit and healthy players, while the future calendar is so jammed packed that rescheduling those matches called off looks nigh on impossible.
The FA also face a huge rebate bill from the broadcasters if some games don't take place.
Football supporters deserve to see some chaos on the pitch, but all the carnage is now taking place in the build-up due to the unprecedented circumstances.
What a shame.