Jose Mourinho's men currently sit at the top of the Premier League table after two 4-0 victories over West Ham and Swansea.
The Red Devils boss has a glint in his eye but admits that the real challenge will come when United fall behind and "try to change the result".
Matic, on the other hand, is confident his team can withstand any pressure and always fight to win games. The Serbian said, "in football, there is always pressure.
"You can ask the players from Swansea and they will also feel the pressure because they have a lot of supporters who come to see them in every match.
"At Manchester United, it's always special when you play for this club. There is always pressure, but we are ready to cope with that."
Matic protected the back four in style at the Liberty Stadium on Saturday and says he is enjoying life in Manchester.
"I'm happy to be here, I really enjoy it. We are all friends in the changing room and that's very important," he added.
"The season is long, we have a great squad and good communication. I'm happy to be part of this. This is just the beginning but I am confident.
"It was important for our confidence not to concede a goal. When you do that, it means you're concentrated and that you fight for every ball.
"If you defend well in attack, you will always have some opportunities during the 90 minutes. I'm happy we used four of them."