Lloris admitted being more than twice above the drink-drive limit when he was stopped by police in central London last month.
Liverpool midfielder Naby Keita says it will take time to justify the £52 million fee the club paid for the Guinea worldwide.
Asked if the World Cup victor would remain as captain, Pochettino said: "Of course".
"He's the first that regrets everything, and all that happened yesterday is not good", he said.
"I'm the kind of person who thinks that if I score eight goals in one season my objective must be to score nine goals in the following season", he said. He said he was guilty and responsible.
Horror: Five People Were Killed In A California Shooting Spree Last Night
The story apparently began with the suspect and his wife going to a trucking business on Maxwell Street just before 5:30 p.m. The husband then went to another location on Breckenridge Road where he confronted two males at a residence and shot them.
Majority of Puerto Ricans give Trump negative rating on Hurricane Maria response
Trump's tweets - which came as a highly unsafe Hurricane Florence churned toward the Carolinas - brought an immediate rebuke from Democrats in Congress.
Pence heading to Georgia ahead of Hurricane Florence
Its governor, Roy Cooper, told residents "the time to prepare was nearly over". "Disaster is at the doorstep and is coming in". Heavy rains were forecast to extend into the Appalachians, affecting parts of Alabama, Tennessee, Kentucky and West Virginia.
"Everyone can make a mistake, he made a mistake and he is suffering".
"It's a massive lesson for everyone. Now I need to pay like a man".
A trip to Tottenham Hotspur on Saturday kicks off a run of seven matches in 23 days, which includes the onset of the Champions League with an Anfield clash versus Paris Saint-Germain and a journey to Napoli, as well as an away encounter with Chelsea and a home meeting against Manchester City.
Keita, who has a lot of added pressure on him as he is the most expensive midfielder ever signed by the club, says his attitude has always been to push to improve no matter the plaudits he receives for his performances. It is only a matter of time before he shows his real quality. Every player wants to go forward and try to be better and to help this big club to be successful.