The Manchester City forward is confident his side can keep on the tails of the Londoners in the title race.
Sterling, 22, scored the winner as Pep Guardiola’s side came from behind to beat Arsenal on Sunday.
It kept the gap between them and leaders Chelsea at seven points but with the Blues winning their last 11 league games, the belief is that Antonio Conte’s men could cruise to the title.
But City have now won back-to-back league games as they look to go on their own hot streak after some inconsistent form.
“You have to keep your eye on everyone and can’t think you are ever comfortable where you are in the league”
Sterling said: “You have to keep your eye on everyone and can’t think you are ever comfortable where you are in the league.
“Things can turn so quickly. They (Chelsea) might get a bad run and we can go on a run, we are capable of that, and that’s what makes the Premier League so fantastic.
“We had a few bad run of games, lost a few games, but this is the Premier League and you pay for it when you are not at your best.
“We are a few points behind Chelsea, but we will keep trying to win our matches and hopefully keep up with them.”
Defender Bacary Sagna added: “All we can do is keep winning games, just go game by game, focus on our games, our performances and not worry about them.
“The season is still long and they will drop some points at some stage. But we know we can’t afford to drop many now.”
Sterling’s goal was his first since September with his dip in form coinciding with City’s slide.
The England international has also struggled with his fitness after picking up a knock against Burnley last month.
But the former Liverpool star believes he is still improving and has revealed how he is studying the world’s best players to improve his game.
He said: “The manager has told me to be direct, to be the player he knows I want to be.
“To be direct, to be involved in creating chances and scoring goals, being clinical and that’s what I need to do.
“I watch players to get better. I’m only 22 and I’m going to watch world-class players to see if I can improve my game week in week out.
“There’s many players in my position I watch and to keep adding to my game. I know I can still get better.”