City moved into top spot of the table with a 2-0 win over Toffees, although second-place Liverpool have a game in hand.
And Guardiola has reminded his players to keep focused on their own performances during the title race.
"It's much better. We have played one more game. It's the best we can do. The reality is we could have been one month ago 10 points behind when we played Liverpool," Guardiola told reporters at full-time.
"A few days ago we could have been seven points behind. Now we are top of the league. That is the best advice, the lesson is – never give up. That is a lesson for all athletes. Try to win the games, because life can change immediately."