City handed the Merseysiders their first league defeat of the season on Thursday, goals from Sergio Aguero and Leroy Sane either side of a Roberto Firmino header trimming Liverpool's advantage at the top to four points.
Liverpool have not won the title since 1990 and Brazilian Fernandinho suggested the weight of expectation may become too much for Jurgen Klopp's men.
He said: "Four points is going to be interesting for the rest of the season for both teams.
"They are still leaders and they have a lot of games to play as well. It is not easy to stay there at the top because the pressure is so high. You have to win every game, so we will see what happens."
Although not always high in quality, Thursday's game at the Etihad Stadium was an absorbing watch with City's midfield supremacy eventually proving decisive.
"It was good to be involved, a nice game to play against the leaders," added Fernandinho.
"We had the opportunity to show our quality after a couple of bad results. We're back on track and on winning ways. The team has been playing good games and this is the most important for us.
"It was a nice game for everybody and of course for the fans. They were so excited, and I am happy for them."
C’MON! Until the end Great team effort! We are City! pic.twitter.com/p7DKnejJP4— Fernandinho (@fernandinho) January 3, 2019
"No, not at all. We have a point to prove every game," he said.
"Last season we were able to make 100 points – 50 points away, 50 points at home – so you have to keep going and play every game and try to win.
"Everyone has this responsibility in mind, to play good football, to try to win every game. You have to prove every game, not just today."
He said: "We try to play with the same intensity as always.
"Some teams come to the Etihad and don't want to play with the ball like Liverpool did, so we won't have to defend like we did against them.
"But with the ball we always try to play with the same intensity. We try to find the spaces to create the chances and arrive in the box. When we play games like this we have to try and recover the ball as fast as possible."