The victory was more of an ugly performance from the 2012 champions who produced something similar late in the season when beating Newcastle United 2-0 on the way to a drought-breaking title.
Milner feels that this season's squad under Manuel Pellegrini have a similar mindset to the team which won the premiership under Roberto Mancini, which gives him assurances that they will get the job done come season's end.
"That game (against Everton) was very reminiscent of the Newcastle game when we won the title," said the midfielder.
"We didn't play well second half but to grind out the result shows that other side to us.
"People see the ability in the side and how we move the ball and score goals but you can't win if you don't grind it out and fight for every ball.
"We won't get carried away because we know better than anyone how close it can be.
"People look at our home fixtures and say we'll definitely win those but we have two tough fixtures and so much can happen; in our experience it went to the wire and it can do that again.
"No one is looking too far ahead. Everyone knows how tough it is to win a league title and how much goes into it.
"With two games left we have to make sure with two 90 minutes left we give absolutely everything and play to our potential."
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