Leicester squandered a string of chances, though - including a missed penalty from Jamie Vardy - and Pochettino acknowledged that it was a win they ground out without being on top form.
"I think Leicester looked at it and identified the full-back positions as a weakness for Tottenham and something they could exploit".
In a freaky turn of events, Vardy came off the bench for Gray and walked straight up to the spot to take the penalty, only for Lloris to dive to his right and push it away to safety.
- Tottenham have won 20 league games this season - only in their top-flight title winning campaign of 1960-1961 have they ever won more after their first 26 matches of a season (22).
Son claimed he was tripped by Harry Maguire in the first half, but Oliver showed the South Korean a yellow card for simulation, before later awarding a penalty to Leicester when he adjudged that Jan Vertonghen had fouled James Maddison. 'Unbelievable. When you compare with the penalty against us, unbelievable. "We conceded more chances than usual, but I think the victory is fair", Pochettino said.
He said: "I feel so embarrassed because I can accept to play today if Dortmund play today and then we play Wednesday, but I cannot understand why we're playing with a massive disadvantage".
Maddison took the ball and was going to take the spot-kick, only for Vardy to enter the fray and take the penalty with his first touch of the game. Frustratingly for Leicester fans, those two impressive results aside, they have lost five of their last six games in all competitions, including defeats to Newport, Cardiff and Southampton.
It proved a key moment as Eriksen doubled Tottenham's lead just three minutes later as he picked up Llorente's lay-off on the edge of the box and curled an inch-perfect effort into the corner past Schmeichel. Christian Eriksen keeps his place in attack with Heung-min Son also supporting the recalled Fernando Llorente - who leads the line up front in the absence of Harry Kane.
Asked whether he was pleased to see Vardy taking the penalty, Pochettino said: "Now, yes, but more than the mistake of whoever shot, it was a massive save from my keeper".