And the England international's displays are a far cry to the woeful form he showed exactly a year ago, which culminated in a shocking exit demand.
Rooney stunned all involved at Old Trafford midway through last season when he handed in a transfer request, citing United's lack of ambition as the reason behind his wish to quit.
However, Rooney then made a stunning U-turn by signing a contract extension, before hitting form near the tail-end of the season as United claimed the Barclays Premier League title.
While not all of the Old Trafford faithful have yet to forgive Rooney for his outburst last season, he has gone some way in winning them back with eight goals in the opening four league matches of this campaign.
And Evra believes Rooney's desire to prove himself to the public is the reason behind his scintillating form, after his three goals against Bolton on Saturday saw him become only the fourth player in Premier League history to net a hat-trick in consecutive games.
"You can see his hunger," Evra told The Sun. "Last season, he had some problems but now he is back.
"He is a great professional and a top player. He wants to be the best player in the world.
"He just has to keep doing what he is doing."
Rooney's first-choice strike partner Javier Hernandez, who also bagged two goals on his return to the starting lineup against Bolton, admits he is in awe of what the United number ten is capable of doing on the pitch.
"Wayne Rooney is unbelievable.
"He can do anything on the pitch."
United's 5-0 thumping of Bolton ensured they remained top of the table ahead of arch-rivals Manchester City on goal difference, and both sides are currently the only two teams in England with a 100% record in the league.
And Evra admits the first Manchester derby on October 23 is already looming as a potentially decisive encounter.
"When I see people, the first question they ask me is what date is the derby."
City themselves recorded an impressive 3-0 win over Wigan on Saturday, with Argentinean hitman Sergio Aguero bagging a hat-trick as well for the Citizens.