Pochettino also had praise for Son Heung-min and Vincent Janssen, who will both come under scrutiny in Kane's absence, and the Argentinian gave a vote of confidence for the latter as he insisted the Dutchman will feature more in the coming weeks.
Alli was sent off for a unsafe lunge on Gent's Brecht Dejaegere in the first knockout stage of the Europa League in February and has faced calls to tame his character and tread the line more carefully.
It's often said that Saints' head coach or manager is less important than the overall structure at the club, something that's been proven again this season. Everyone makes mistakes and it is important you bounce back.
"I felt frightful straight after it but it was important that I put it behind me and made sure I learned from it and I keep improving".
Janssen was given a recent boost by scoring his first goal from open play against Millwall in the FA Cup and Kane's injury should give him a better chance to fight for a starting role. "That's something everyone knows", admitted Pochettino.
But while club boss Pochettino has spoken in the past of the "devilment" possessed by Alli, the pair are working together to improve things bit by bit. "We have 11 players to replace Harry when he's not here, but the players are good enough to substitute [in for Kane]".
The report suggests that the Premier League side tried to sign the Paraguayan attacker last summer but the 21-year-old instead opted to move to La Liga.
"No, I enjoy playing in the No. 10", Alli said, when asked if he was a striker now. I always want to win. "We have had a few talks and he's been really supportive".
"I'm pleased with the performance".
Tadic added: "I am not the one who decides the future but I want to be shown more respect because of the statistics. I am happy in the way that he trained this week too".
"It was very important that someone else scored, of course, and we had to keep it going".
Pochettino is also a fan of midfielder James Ward-Prowse - "He's a great professional, a great player, he deserves to be called up for the national team". We are a hard-working team and that's the big thing for this manager.
Dan is ESPN FC's Tottenham correspondent.
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