The 31-year-old will now miss several weeks with a thigh injury, but Pochettino does not anticipate that the ordeal will affect his goalkeeper's displays when he returns to the line-up.
Hugo Lloris has been banned from driving for 20 months and fined £50,000 after pleading guilty to drink-driving.
Dele Alli will also miss out tomorrow because of a hamstring injury he suffered playing for England last week, but Heung-min Son will be available again after his lengthy stint on worldwide duty with South Korea.
World Cup-winning captain Hugo Lloris has admitted being more than twice the drink-drive limit when he was stopped by police in central London.
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"He is the first to regret about everything and all that happened is not good, he doesn't feel great", Pochettino said. "He told me "boss it's a massive lesson for me, I made a mistake and need to pay" and now he's accepted (it) like a man that he is". All the women, men, people can make a mistake.
Speaking ahead of his side's Premier League clash against Liverpool, Pochettino moved to defend his goalkeeper, stating: "Will he stay as captain?" "He has punished himself", the Tottenham manager said.
"He is a man and he is very conscious about what happened, and of course you can not remove it, but he has the capacity to move on, learn and be focused on playing football", said Pochettino.
"Disappointed, because we're going to miss him for this game, and possibly Inter Milan in the Champions League, but it is not a big issue".
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England coach Gareth Southgate had said he expected him to have recovered by the time Spurs took on Liverpool, but Pochettino has confirmed that is not the case.
Pochettino also insists he has no concerns about the form of Harry Kane, who has made a sluggish start to the season after his World Cup exertions.
"We're working hard to come back strong and as quickly as possible". I told him today where is my present Sonny?
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