The Saints sit 16th on the Premier League table with 27 points, just three clear of the drop zone, with many believing that 37 will be the safety mark for all clubs to remain in the top flight.
However, Pochettino says he is simply looking to win every match that the south coast club steps out to play.
"We haven't set ourselves a certain amount of points," he said.
"We have just set out to win every single match and then at the end of the season we will look at how far close we came to achieving the ambitions we have."
Pochettino added that he has some nous of what has occurred before at St Mary's, including the 2004/05 relegation, and says he will do everything in his power to avoid that happening again.
"I do know the past of Southampton, but I do not know every single detail of what happened," he added.
"I am always interested in football matters so I have become interested in this matter as well.
"But I think my main goal is always to generate a positive atmosphere for my team and always respect what the people say.
"I will thoroughly respect whatever they want to say on Saturday, but I think what is truly important is that they get behind the team and push us to try and get the three points as best as we can."