The decision has been met with some scepticism, not least from Kane's Golden Boot rival Mohamed Salah, but Tottenham boss Pochettino is relaxed about the situation.
The England global striker appealed to the Premier League after the goal was initially awarded to Spurs team-mate Christian Eriksen, though the decision was overturned by the league's Goal Accreditation Appeals Panel.
Past year against (Romelu) Lukaku it was a tough competition and he finished the season really strongly with the amount of goals he scored.
He added: "Of course (the Golden Boot) is in my mind".
"I have no doubt the Champions League. I don't care about the rest".
After it was originally ruled that Christian Eriksen had scored Tottenham's second goal at Stoke last week, the club -presumably at the request of Kane - successfully appealed that the ball had in fact touched the England striker last before entering the goal.
Saturday's defeat, Spurs' first in 14 matches, left them seven points clear of fifth-placed Chelsea with five games to play and Alli added: "As a team, we looked to finish top four and we would be very disappointed if we didn't, even though we know how hard it is".
He now has five games left to try and overhaul Mo Salah's tally and Alli is not writing his friend off, though says securing Champions League football next season is everyone's primary aim. "Yeah, he's a big player for us, so hopefully he can keep scoring for us".
You know it's been another good season and improvement when I now don't even think about Arsenal coming above us when I used to panic every week the last few years that they would get us!
"It's also very close, it's just seven goals, but let's see", Salah said.
Both players are on course to smash Luis Suarez's record of most goals in a single Premier League season (31 goals).