This comes in spite of Pochettino's contract renewal in May of last year, with the 45-year-old set to stay in north London until 2021. He has so far scored 19 goals in all competitions this season, matching Cha Bum-kun's tally in the 1985-86 season with Leverkusen.
Pochettino also said they can not afford to make any mistakes next season if they want to win the title.
Son Heung-min also scored twice as Spurs continued to shrug off any disappointment following Chelsea's title win.
"There could be (a new record)".
"It's all about if you pay or not when we talk about top players". I think they are not machines and they need proper holidays.
Walker has been linked with a move to Manchester City, while Alli has emerged as a target for Spanish giants Real Madrid.
"For me it's an award, a trophy that deserves to be shared with everyone at the club".
He was only promoted to the first-team squad after a series of outstanding performances for Brazil's under-17 side in the South American championships in Chile in March.
Work has begun on building Tottenham's new stadium
"It's hard when you sign for a club like Chelsea and you have the pressure to win and you spend the money that they spent on David Luiz, Marcos Alonso, Batshuayi and [N'Golo] Kante".
The England man opened the scoring before restoring Tottenham's two-goal lead just as Leicester threatened to get back into the game before two late strikes.
"All the players that we want to stay here next season will stay", Pochettino said when asked about the two England international's. But I don't think we should be too sad because we are literally moving 150 yards to the left, so we're not exactly like Arsenal coming out of where they came and going around the corner.
"My goal was to score 10 Premier League goals (this season)", he said.
Spurs paid a heavy price for a dip in form last autumn when they failed to juggle the Champions League and Premier League, managing just one domestic win in six matches.
As recently explained by the BBC, Defoe's deal with Sunderland includes a release clause that allows him to leave, on a free, if the club is relegated.
Besides the £275,000 weekly wages on offer at the Etihad, Dele would've been looking to add to his one major honour in professional football at the club and he did so in his debut season by helping his new club win the FA Cup.
And Bayern said the 28-year-old would now likely seek a move overseas.
Summer reading program to kick off at Dvoracek library
There will be reading groups for people of all ages, from birth to 104, as well as the differently-abled and anyone can sign up. There will be Story Time for early literacy, Monday programs for elementary ages and Tuesday art programs for ages 10 to 15.