The Carabao Cup final loss to Liverpool may have been the final straw for some Blues supporters.
On the project, Pochettino told reporters: "For me, it's about to believe. It's about to believe. I believe. I really believe we can succeed. We analyze all of the circumstances. With all these problems, we got to a final, the first trophy we were there fighting, and we fully deserved after 90 minutes to win the game.
"We've beaten teams like Brighton and Newcastle to arrive against Liverpool. Being in a position that we can still believe we can win games and I think we can be close to the position that will be a success to Europe.
"Football is all about belief because the circumstances can change, only we need to be there to take the possibility. If you stop to believe and give up, then sure you are going to go down. I think we accept the circumstance and keep pushing, for sure."
On convincing the fans, he added: "No, I cannot do nothing. The only way they can believe in us is to win games and because of the circumstance, we are maybe not consistent enough. After Wolverhampton, we play Aston Villa, City, Palace, Liverpool and Brentford and we did not lose in 90 games. It's five games, no?
"Because of the expectation, that is the problem. When the expectation does not match the reality, and you believe that you can win the race and if you are not going to win it, of course that is the problem with the relationship with the fans, the bad feelings arrive.
"On my side, I am the same as when I arrived here. I really believe in the club, I really believe in the fans, I really believe in the players, I really believe in the project. Only the circumstances delay all of the things because you can manage things but when you suffer too many negative things like injuries, like now with three players after Saturday, that is not about the quality of the coaching staff, or the capacity to play more offensive or more defensive, you know?
"This type of circumstance is affecting the expectation of Chelsea winning titles. That is the answer. People want to understand? Perfect. If they do not want to understand? What can we do? I prefer to talk about football, why you play with five at the back, a back four, two midfielders, three offensive players, two strikers, that is my passion.
"I need to come here and always explain the circumstance and to justify why we are not winning or why we are not in the position people expect, because of Chelsea. But it's true. The circumstances are different, the project is different. For me, to be in another position to talk about football, I prefer 100%."