Eric Dier believes the head coach's demanding personality has been overhyped, despite the fact that the players have welcomed the tough training sessions.
When he arrived at Spurs last month, he banned a number of foods from the players' diet in order to improve their fitness.
The players are learning what it means to suffer under the "super competitive" Italian, according to Spurs defender Emerson Royal.
The head coach and his staff have shown the lighter sides to their personality during their first month in north London, according to Dier.
Dier told Sky Sports News that there have been tough training sessions. The boys have enjoyed the time we've had.
We were prepared because a lot of us were here. It has been enjoyable to work in that way.
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There is a free to watch video of Spurs' win against Brentford.
It's been good so far, we need to improve quickly.
There's an overreaction. The manager is passionate about football but also very personal.
He and his staff enjoy a lot of fun.
The singing initiation was really good. They sang with the same passion they have for football, even though it was all Italian classics.
It's not all serious, but when it's time to work, it's the time to work.
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Even if Harry Kane isn't finding the net, Antonio Conte says it's important that he gets into goal scoring positions.
Nuno Espirito Santo's disappointing four-month reign came to an end after the miserable 0-3 home defeat to Manchester United at the end of October.
Nuno was able to win nine of his 17 matches in charge, including a victory over Manchester City on the opening weekend of the season.
"Consistency is something that we need to improve on," Dier said. We're lacking that consistency to do it over and over again.
We need to be better mentally. We need to be more consistent. I think there's a lot of room for us to improve.
The manager has spoken to us about that and we're focused on it. We hope we can do that over Christmas.
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Klinsmann was in the same situation as Kane and hopes he can win a trophy before it's too late.
Dier has started all but one of the five games Spurs have played so far, and admits he hopes to take advantage of the head coach's reputation for improving players.
In his first season at the helm of the Blues, he helped to turn Victor Moses, who had been out on loan for three seasons, into a key member of the side, as well as Matteo Darmian, who had also failed, and Alexis Sanchez, who had also failed.
Dier said that he thinks that he has always done something to constantly improve. He's spoken to us about his ambition as well.
He'll do everything for us if we put our trust in him. It's about showing our commitment and building that relationship.
He has a fantastic history of winning and improving teams, so that's something that's exciting.
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Ben Davies and Helen Richardson-Walsh sat down to discuss their support for the Rainbow Laces campaign.
While Dier is focused on improvements at club level, he is also hoping to see the benefits on the international scene.
When asked if he was hoping for a recall to the England squad, Dier said "That's the ambition - that will always be the ambition for me."
There's a lot of football to be played before then, so I'm just focused on trying to play well for Spurs and put them in a better position.
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