Evra was again impressive in United's 3-0 victory over Everton.
"It is a good win, a great result, it was not easy against a tough team like Everton," Evra told ESPN.
"I think when we scored the second goal it killed the game and that's why we won tonight.
"It was not easy after the international break, we are a little bit tired, but I think we played with a lot of experience tonight.
"We are five points behind [Chelsea] now and we have to win every game into December now as we have already qualified in Europe and the internationals as well are finished.
"We need to focus on the league because we want to win it four times in a row."
Reflecting on Darren Fletcher's 20-yard effort which opened the scoring, Evra added: "Fletcher is a great player and it was an unbelievable goal."