Pochettino, who also guided Spurs to the FA Cup semi-finals where they lost to Chelsea as well, said lessons had still to be learnt in order for the team to convert a near miss into the title next season.
Conte, who claimed the title in his first season in English football with a win over West Brom on Friday, claimed recently that likely runners-up Spurs had an "advantage" in the race.
"There are many rumours, but I am committed to the club and have no reason to leave the club", he said, ahead of the Lilywhites game against Leicester.
"That's got to be the next step".
Tottenham said an emotional farewell to White Hart Lane on Sunday, with a 2-1 win against Manchester United the ideal send-off for the 118-year stadium before it is demolished it make room for a new arena.
"We're a family on and off the pitch", Kane told British media. We work so hard as a group.
"So now it is time for us to look at it and find a way to fix the team, find better tools to improve in our methods and the way that we handle and manage the team". I know they've got a long waiting list for season ticket holders but it can go backwards quickly.
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He is the second Tottenham player to win it twice in a season, joining Harry Kane, who completed the feat in the 2014-15.
Pochettino's stance, however, will be a major boost for Tottenham as they embark on a season of upheaval next term and a temporary move to Wembley while the building of their new stadium is completed.
"That's got to be our next step". I think that in this game, if Lester and lose, then no more than 1 ball.
You can never say what's going to happen in the future. "That has to motivate us to hopefully be out there next year lifting the Premier League together".
Leicester have their own injury problems and manager Craig Shakespeare has revealed he has just 16 senior players available for the clash. In general, the game "spurs" deserves respect, and the players Mauricio Pochettino noticeably progress for a season in a row.
After an outstanding season, some of European football's biggest clubs have been linked with big-money offers for one of Spurs' most prized assets.
There have been reports that clubs in the Premier League and around Europe are interested in Kane, along with the likes of Dele Alli and Toby Alderweireld.