The Foxes, who continue to impress under former Liverpool and Celtic boss Brendan Rodgers, moved up to second place in the Premier League with a 2-0 victory over Arsenal on Saturday - a sixth win in their last seven top-flight games.
Jamie Vardy scored his 11th of the season before setting up James Maddison to score a game-clinching second 15 minutes from time.
The surprise 2016 champions ended the weekend nine points clear of fifth-placed Sheffield United, but Northern Ireland defender Evans refused to get drawn into title talk.
"I don't think you'll be able to judge that until after Christmas when we're getting into it," the 31-year-old said.
"We know how seasons can finish. It'll be tough. We need a big squad to do that, and all firing in the right directions.
"We've shown we can battle games out but we've just got to do what we're doing and see where it takes us. It's still really early on in the season.
"If you look at it there's still teams like Sheffield United sitting fifth. So we know it's going to be a long season and every team can beat everyone."
Having dispatched the Gunners, with manager Unai Emery now under serious pressure to turn things around after the defeat at King Power Stadium, Leicester's confidence will be high as they prepare for a run of winnable games after the international break.
The Foxes, who have now won five matches on the bounce in all competitions, make the trip to Brighton in their next outing on November 23.
Leicester then kick-start December with home games against Everton and Watford, before making the trip across the Midlands to face Aston Villa.