The Saints improved under the Argentine last term and he feels there is no limit as to what his group of players can achieve.
"I think the sky is the limit," he said ahead of the weekend's season opener against West Bromwich Albion.
"We can't really set ourselves any limits, we have to think positive and be ambitious. We need to think that we need to win every single game and that every game is a final.
"We will go out looking to win on Saturday and the game after that and the game after that."
Pochettino also suggested there may be one or two more new faces added this summer.
"I'm satisfied with the players we have in the squad - I'm happy how they have performed in pre-season," he added.
"But if there is anyone out there who can make us better in general then they would be welcomed in to the squad.
"It is clear there are some weeks left in the transfer window and we might be looking at a couple more players but again we will be keeping that in private."