Just as upsetting for the outgoing Liverpool manager in a 2-2 draw with West Ham may have been a touchline confrontation with his star forward, Mohamed Salah, that Klopp tried to downplay after Saturday's match.
Salah, not so much.
"There's going to be a fire today if I speak," the Egypt winger was heard telling journalists as he left the Olympic Stadium.
The incident happened as Salah was preparing to enter as a substitute soon after Michail Antonio's 77th-minute equaliser.
It was the second time in Liverpool's last three games that Salah has been benched, an unusual position for one of the club's greatest scorers who has rarely been dropped in his time at Anfield.
Whether Salah remains at Liverpool beyond this season remains to be seen — he was linked heavily with a move to Saudi Arabia last year — but Klopp is leaving and, with three games left in the league, his successful Liverpool tenure might be ending on a sour note.
This latest setback came after recent losses to Crystal Palace and Everton, and left the team third, two points behind Arsenal and one off Manchester City. They both have games in hand over Liverpool.
"Do they look like they will lose two or three games?" Klopp said of Arsenal and City. "No, I don't think so but honestly I am not angry or whatever. I don't think about it."
While Liverpool's title dreams are looking remote, Sheffield United's faint chances of staying up are officially done.
Sheffield United players applaud their fans after their relegation from the Premier League. (AP PHOTO)
A 5-1 loss at Newcastle confirmed the Blades as the first team to be relegated from the top-flight this season as they're 10 points from safety with three matches remaining.
"We have not been good enough," said manager Chris Wilder, who took over in December for a second spell in charge after Paul Heckingbottom was fired. "The league has been too powerful for us right the way through the season.
"It's an incredibly young side and there is a complete lack of leadership out there."
Newcastle, in seventh place, closed the gap to Manchester United to one point and look like securing qualification for a European competition next season.
Alexander Isak scored two of Newcastle's goals and has 19 for the campaign, one behind joint leaders Cole Palmer of Chelsea and Erling Haaland of Man City.
There were more jeers for Manchester United and under-pressure manager Erik ten Hag in a 1-1 draw at home to relegation-threatened Burnley.
Substitute Zeki Amdouni's 87th-minute penalty — earned after he was bundled over by United goalkeeper Andre Onana — cancelled out Antony's goal in the 79th and secured a point for next-to-last Burnley, who are two points from safety.
Everton ensured a 71st straight year in England's top division by beating Brentford 1-0, a win eked out through Idrissa Gueye's 60th minute goal.
Luton lost at Wolverhampton 2-1 to stay in the relegation zone, one point adrift of Nottingham Forest, who play Man City on Sunday, while Fulham and Crystal Palace drew 1-1.