Pochettino has given a number of the club's teenagers an opportunity of first-team action in recent weeks because of injury in his squad.
James Ward-Prowse, Luke Shaw, Calum Chambers and Harrison Reed all featured in the 1-1 draw with Manchester City, while Sam Gallagher was an unused substitutes.
The latter netted a hat-trick for Southampton U18s as they thrashed rivals Portsmouth 7-0 in the FA Youth Cup this week.
While impressed by the youngsters at his disposal, Pochettino insists he will not rush the progression of those players.
"I was at the game and there were many first-team players that were there as well watching the game," Pochettino said.
"I think we need to give him time and not just Sam Gallagher, but a large percentage of the players that played in that game. They could have their chance with the first-team.
"We need to be patient with them overall and understand that every single case involves an individual and that they all need their own individual time to progress, mature and be part of the team."
Pochettino's trust in the club's young players led to him recently saying such strength in depth meant he was not worried about having to do business in January.
Despite that, Werder Bremen's Aaron Hunt, Valencia attacking midfielder Sofiane Feghouli and Wolfsburg's Diego, a player he managed at Espanyol, have all been linked with a move to St Mary's.
Asked if he was interested in such moves in January, Pochettino said: "No, not right now.
"So far we haven't actually analysed or look at any one player. None of those players are of interest."