Lloris, who has endured a hard few weeks on a personal level after being fined £50,000 and receiving a 20-month driving ban following his pleading guilty to drink-driving, misses this weekend's game with a hamstring injury, while Alli suffered a knock during England's 2-1 defeat to Spain last weekend and misses out.
He was given a 20-month driving ban and fined £50,000 at Westminster Magistrates' Court.
Manager Pochettino said: 'I think of course he is the first to regret about everything.
'It was a mistake & then we are men & women - we can all make mistakes. "He made a first mistake - he chose to drive". He is punishing himself. The staff, the club, the fans, us, and he said "Any decision that you take gaffer, or the club, I think is fair". That is important. And of course now it is a massive lesson for him, a life lesson.
"Rather than congratulate him and the club, people need to congratulate me and say thank you because I allowed him to go there and put his individual situation in front of the collective". We are disappointed because we're going to miss him for this game and possibly Inter Milan but it is not a big issue'.
Alli's absence will leave a huge void needing to be filled in Mauricio Pochettino's team and it will be interesting to see who comes in to replace the England worldwide this weekend. "Like the man that he is, he's going to pay and accept everything".
Meanwhile, midfielder Moussa Sissoko is expected to return to training next week after a hamstring injury.
While Kane has scored twice in four league games for Tottenham this season, his displays against Watford and for England against Spain have caused concern that he is suffering from the effects of the World Cup. "I played him many times when I was playing with Nice".
The news is a bitter blow for boss Mauricio Pochettino, who was hopeful of selecting the pair for this weekend.
Dele Alli's absence could pave the way for Heung-min Son to come back into the side, after his return from a victorious Asia Games campaign.