A midweek win over Middlesbrough saw Chelsea reach the Carabao Cup final against Liverpool and three consecutive league wins have put the club back in contention to qualify for Europe.
Pochettino admits his young squad, which has an average age of just 23, have needed nurturing like his own children to reach this point and to understand the demands of being a Chelsea player.
"I was really happy and positive because things were moving on,” Pochettino said. “We did not compete in the way that we should for many details, we are talking about details with the squad, the players, meetings, in training.
“Then, talking with the coaching staff, it is time to realise, to understand, it's time for them to live the experience.
“Sometimes the players who are right here are so young, they believe they are king of the world - in a good way, without being arrogant. And then they realise through the period that is up and down, up and down, that they start to realise that if we want to be a real team and compete for big things, it is a process.
"Sometimes, if you push too much, you go down; if you don't push enough, you don't go forward. Is the right moment to push or stay away? It is a massive process.
"It is like with our kids: sometimes you push, and sometimes you put too much pressure and need to give some freedom. Sometimes, you need to realise they can manage their own decisions. It is a very psychological and important plan. It is science.”
Despite Chelsea’s good form, Villa remain a major threat to their hopes of reaching a second domestic cup final, having won 1-0 at Stamford Bridge in September.
Pochettino admits that defeat was a pivotal moment for both clubs, with the gap to fourth-placed Villa growing to 12 points in the race to qualify for the Champions League.
“With ten men [after Malo Gusto was sent off], we were pressing high, we created two big chances, and we didn’t score,” he added.
“That had a massive impact on our confidence because if we won with 10 men against a team like Aston Villa, it would be a big boost for us, massive in confidence and belief, and to the capacity to grow quickly. This type of result sometimes delayed a little bit our capacity to grow. That is football, it’s about the emotion, the moment.”
But he believes Unai Emery is building something special in the Midlands, and noted: “For me, he is one of the top coaches in the world, alongside Pep Guardiola, Diego Simeone, Carlo Ancelotti, Jurgen Klopp and Jose Mourinho.”