The Spurs captain was stopped by police in west London on Friday morning and spent hours in a jail cell.
“I think he’s a man out of character,” Pochettino said. “We are going to, of course, support him, but knowing that we cannot justify, of course.”
See Pochettino’s full comments on Lloris in the video below.
After a summer of discontent, United have lost two of their first three matches of a Premier League campaign for the first time since 1992-93.
Sir Alex Ferguson’s men went on to win the title that season, but there are few signs that under-fire Jose Mourinho can lead the team to league glory this term.
As if the woeful 3-2 defeat at Brighton was not enough, the Portuguese tasted the heaviest home defeat of his managerial career as Tottenham ran out 3-0 victors at Old Trafford on Monday.
United were ruthlessly carved open after failing to take their chances in an impressive start to a match that left midfielder Pogba shell-shocked.
“Even we don’t understand what happened,” the World Cup winner said. “We started the game really well, we conceded two goals in the second half.
“The first goal was a real blow, we didn’t understand why, because we had the game in hand. One goal, two…we kept pushing, we had chances, and we conceded the third.
“The fans kept pushing us, they were really behind us. We feel really sorry for them, very disappointed, we wanted to do better.
“I think it was an undeserved defeat for us, in our desire, in everything we put into it. But football can be cruel. We just have to bounce back.”
United desperately need to return to winning ways at Burnley this Sunday to ease the pressure heading into the international break.
Last season’s runners-up already find themselves six points off the summit, but Pogba is keeping calm and focused amid the storm.
“It won’t be easy, but it’s just the start of the season,” he said. “I prefer to start badly and end well than start well and finish badly.
“It’s bizarre. (Against Tottenham) we were determined, we started well, and in the end we lost 3-0. It’s a shock.”
Pogba’s commitment to the United cause is a welcome boost in an uncomfortable period when his happiness is one of a variety of matters hanging over the club.
Some disgruntled fans have intended to fly a plane over the ground against Burnley calling for the exit of executive vice-chairman Ed Woodward, while the odds on Mourinho leaving continue to tumble.
The Portuguese has struck an unhappy figure since returning for pre-season, venting his spleen on matters varying from player fitness to professionalism and the need for reinforcements, particularly in defence.
The pressure appears to be making its impact on Mourinho, who stormed out of his post-match press conference on Monday demanding respect.
But the United boss has not yet lost the fans, with the United boss showing his appreciation by applauding the Stretford End for several minutes after the game.
“I went inside the pitch because normally I am the first person to leave the pitch when my team wins,” Mourinho told MUTV.
“But my team lost and the players deserved that they are in the middle of the pitch with me, so I went in the middle of the pitch for my players but then the fans had such an amazing reaction to the boys.
“I had to thank them on behalf of everyone.”
Gary Neville says Jose Mourinho faces “the biggest challenge he has had in football” after Manchester United were humbled 3-0 at home by Tottenham.
A second-half goal from Harry Kane and a brace from Lucas Moura piled the pressure on Jose Mourinho, who faced chants of “you’re getting sacked in the morning” from the Spurs fans.
There was a mixed reception on the final whistle from the Old Trafford crowd as United followed up defeat at Brighton with another loss, prompting questions over the future of the former Chelsea manager and Neville admitted he has a huge job on his hands if he is to try and reverse the club’s fortunes.
“The manager is always the person where the buck stops,” he said on Sky’s Monday Night Football.
“Jose Mourinho has been the most successful manager along with Pep Guardiola in the last 20 years in football and he is going through a difficult moment now over the last couple of seasons with Manchester United.
“This is now the biggest task he has had in his life and the biggest challenge he has had in football.
“He has got to come out of it because I have to say I look at the squad and the team and I’m not sure what the best XI is.
“He is going to have to back certain players and just stick with it because at the moment they are changing every game.
“The buck stops with the manager, it always does and it has to. At the moment there doesn’t look to be a balanced outfit there at all.”
Jose Mourinho applauding the remaining Man Utd fans at Old Trafford. 😵 pic.twitter.com/pSs97ya9fg
— Soccer AM (@SoccerAM) August 27, 2018
Former England goalkeeper Peter Shilton was also critical of the United defence, which Mourinho had been keen to strengthen on the summer transfer window.
He said on Twitter: “Big defeat for United tonight any good side has to keep clean sheets that is the base of a great team! Not good enough for Mourinho or United tonight !! Clean sheets or sack!!”
After Mourinho stopped to applaud the home fans on his way to the tunnel at full time, former Celtic striker Chris Sutton added on BBC Radio 5 Live: “Maybe that stance by Jose Mourinho at the end was trying to show unity, but who is he kidding? Has Mourinho just walked into this job? No.
“He has had two years to build this team and he has to take responsibility. His managerial record is fantastic, but if United want to accept mediocrity, then that is what they have. Man City and Liverpool are in a different league.”