But hours later Liverpool saw off Chelsea to return to the summit and put the pressure back on Pep Guardiola’s men.
City still have their destiny in their own hands and Pep Guardiola has suggested his side need to win all five of their remaining matches.
And Sterling feels the title rivals will continue matching each other stride for stride.
“I don’t see us slowing down now. Liverpool have a great squad, great self-belief, but so do we.”
Sterling scored twice to put City in control, but only after he missed a glorious chance to give them the lead.
“I tried to be a bit too clever with the first one,” he admitted.
“But the game is 90 minutes and it was still 0-0, so I knew there would be more chances.
“When I was younger you always want to score your first opportunity and sometimes it doesn’t happen like that. You don’t beat yourself up.