The Eagles face Brighton on Wednesday (15.03.23) as they aim to win in the league for the first time this year and the coach is adamant that his team has what it takes to avoid relegation.
Vieira, who is in his second campaign at Selhurst Park, said: "When you do well in your first season, people expect you to keep improving but it is not always the case.
"I think it is important to understand where we are, what we want to achieve and the direction where we wanted to go.
"Of course it will take time to be consistent and that is why it is important for us, as a club, to remain calm and keep working, keep believing in the players we have in the building.
"I am convinced with the way we are working, I am convinced about myself as a manager, I am convinced with the players I am working with every day and when you see the attitude and the hard work they showed against (Manchester) City there is no question on that side."
The French coach added: "For me, it is all about improving the squad, trying to find the right combinations to create those chances and to score those goals. We will put our heads down and keep fighting.
"I’m feeling the pressure like the other nine managers in the table. This is part of the game. The table doesn’t lie. We need to win games, play in a better way and score goals. I believe we have the quality to improve our game."