Liverpool took full advantage of Chelsea's shock 2-1 defeat at home to Sunderland on Saturday by beating Norwich and extending their lead over Jose Mourinho's men to five points.
And Sterling insists his teammates will not let any mind games or outside forces distract them ahead of a game that could end Chelsea's involvement in the title race if they lose at Anfield.
"We are just taking it step by step," he said. "We know what a big part of the season it is for us now, but we will just go into the Chelsea game as we have done at Norwich and look to build on what we have done (before).
"We will go again next week.
"We will just take it as another game. We won't be concentrating too much on what is going on in the outside. We are just trying to take care of what is going on (for us) out on the pitch and will be trying to do our best to get three points."
Liverpool manager hailed Sterling as "arguably the best young player in European football at the moment," after scoring two and setting up the other in Liverpool's 3-2 win at Norwich on Sunday.
It capped an excellent weekend for the youngster who was announced on the shortlist for the PFA Player's Young Player of the Year Award on Friday.
"I knew there was a lot more to come from me with confidence, and the confidence right now is sky high, so we just need to keep building," Sterling said.
"The manager has had belief in me, played me in different positions and had faith in me during a big chance (for us) in the season.
"I am just glad I could get a goal for him and the team."