Alli was brought to Spurs from Milton Keynes Dons, having never played a match above League One level.
However, the 19-year-old has made an immediate impact for the Lilywhites and he is already playing a key part in their starting line-up.
And Pochettino said: "In football it is always day by day. We saw big potential in Dele Alli but youngsters have to develop their game and mentality.
"We always give youngsters the possibility and the tools to improve. It is always up to them.
"Every player is different. Some players need more time and others less time.
"It is true Dele Alli from the first day of pre-season started to show he was capable of playing in the Premier League.
"Because of that we gave him the chance to play, he took the chance and he plays now because he deserves to."
Alli has been brought into Spurs’ line-up in a shielding role in-front of the back-four.
The England international has partnered Eric Dier in midfield, and the duo have formed a very effective combination – protecting the team’s defence well.
Alli’s importance to Spurs was highlighted in his most recent outing against Aston Villa, as not only did he show great discipline, but he also netted a wonderful goal – which showed his attacking quality.
Alli has already racked up 14 appearances for Spurs, and he looks set to continue to add to that tally, as the season progresses.