"I don't know what he means by that to be honest", he added.
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.
The Argentinian said: "He needs to provide the team with his best, but maybe in the circumstances we are like a team, or when he plays with England it's maybe not the best conditions for a striker to give the best". Son played a more advanced role that day and Pochettino might be tempted to thrust him into the action this weekend in the hope of a repeat scenario.
"But on the other side we still knew we had a good team".
Michel Vorm will continue in goal as a result of Lloris' absence-and the French goalkeeper is also under-fire after being sentenced due to a drink-driving incident.
Asked whether Lloris, who was found to be twice the legal limit and had a passenger in the vehicle, would remain captain, Pochettino said: "Of course". "He made a mistake and is suffering, and is punishing himself".
"Only we need to try, that he understands, and how he understands that it was a mistake".
Pochettino confirmed the 31-year-old Frenchman, who was banned for driving for 20 months and fined 50,000 pounds ($65,545), would remain as the club's captain. "If he wants to take it, take it ... but of course his potential is to be a very, very good player for England and Tottenham, first for Tottenham and then if England believe that he can help them for England too".
Lloris' injury seems to be the worse of the two as he's expected to be out several weeks.
Forward Heung-min Son is available, but unlikely to play a big part after participating in the Asian Games, immediately followed by this global break.