Evra spoke with passion following Wednesday's League Cup win over Stoke, laying bare his desire for United to click into top gear following their ropey start to the Premier League campaign, whilst at the same time acknowledging the pressures that come with being a player at Old Trafford.
The full-back has also been an inspiration with France as both Franck Ribery and Yohan Cabaye have testified already this season.
Moyes has also noticed what a powerful presence Evra is at Old Trafford, and what a galvanising impact he has on the dressing room.
"Patrice is one of the finest leaders around the dressing room that I have ever seen," said Moyes.
"He speaks well in everything he does and the way he speaks about the club is great.
"He is inspirational behind the scenes and reminds all the boys what their jobs and duties are.
"He knows we have to have a strong Manchester United. He demands. He doesn't think winning one game is it. He is saying no, we need to win all the games.
"He is great for me and obviously he has been great for the team because he has been a really top player for a long time now."