The Saints manager said he is "relaxed" going into the vital clash with Norwich City at Carrow Road despite having won none of their previous six games in the Premier League
The 41-year-old has made his mark on the team since taking over in January, and while they have been praised for their attractive style of play the Saints have won just one of their last six matches.
Southampton currently lie in 16th position, only three points clear of the relegation zone, and a win against the Canaries could see them climb to 15th.
"I don't have any problem with anyone telling me they are upset we have not won these six games. I also think we should have won," Pochettino told reporters.
"We are always producing more than our rivals. We have also made some mistakes but overall our outlook is correct.
"No-one said it was going to be easy. Everything takes time and you cannot wave a magic wand to be able to find solutions, I like the pressure and relish being in a pressure situation."
Pochettino's predecessor Nigel Adkins was a firm favourite at St Mary's and many predicted a torrid time for the former Espanyol manager, but he says he is pleased with his treatment so far.
"I am really happy with the way the club and the fans have treated me," he added.
"It is never easy to get on a train that is already moving. I fully accept what happens in the future.
"I am not thinking about relegation, I am just working hard every day to get results. There are many games ahead and we need to get as many points as possible in order to not be in that relegation fight."