Saints will head to the Britannia Stadium in fifth place in the Premier League table and firmly in contention for a Champions League spot, but Pochettino is not looking too far ahead at this stage.
He said: "It makes me happy for the fans and for the players as well.
"It's always nice to get some recognition from the media, it makes me happy for the chairman as well as it's all part of this club, but at the same time, my focus is on the staff and trying to improve on every single game and I'm 100 per cent focused on doing the best for this team and this club.
"We always aim to maintain the same focus in training and training with the same intensity, so we just want to keep on training hard.
"It's clear that when you win you get a good atmosphere within the team and the club which is a very good thing, but we need to stay grounded and keep on training hard and looking ahead to the next game."
Southampton are unbeaten in six games and Stoke have not won since August 31, but Pochettino is not reading anything into that.
He said: "We expect a very tough and physical game. It's going to be very difficult and tough.
"On average they have the tallest team in the league, so I think they still have some aspects from when Tony Pulis was manager, but there some new aspects that Mark Hughes has introduced to the team and I think that it's a team which over 90 minutes is able to do two different styles.
"They can go for the long ball but also the short one so, overall, we expect a very tough encounter."