Boruc, who penned a new deal at St Mary's last week, had said there was no reason why Saints could not push on from their impressive first season back in the Premier League to push for a top-four finish within two to three years.
Pochettino has drawn the plaudits for the way he has got Southampton playing since replacing Nigel Adkins as manager in January and says optimism is required in football if you want to ultimately succeed.
When asked if he agreed with Boruc's prediction, Pochettino replied: "Why in a couple of years? It might be next year.
"I think in football if you have to be something, you have to be optimistic - why not dream of big achievements, big goals?
"We are an ambitious club and we have a clear way of how we want to proceed and the type of football we want to be playing, where there are means of getting that done.
"Why not put in the effort, the imagination to make that happen and dream together to reach for the stars, why not?"
With top-flight status all-but confirmed Pochettino will no doubt be casting one eye towards next season and the potential to add to his squad over the summer months.
"I think there is already a good level of quality of footballers in my squad," he added.
"But we are open as a club to try and reinforce in the positions we feel we need to improve - logically if we have the chance to improve then of course we will go for those players and I'm sure that my squad and the club itself would welcome new signings."