The buccaneering French full-back stretched Burnley on more than one occasion in Wednesday's surprise defeat, winning the penalty that Michael Carrick was unable to convert.
As a defender whose natural game is to bomb forward at every opportunity in any case, Evra insists extra attacking responsibility will not faze him.
"I have been getting forward a little more," he said.
"We always like to play with attacking full-backs but maybe this season we will see more of the left and right-backs in the final third.
"When you had Ronaldo in front of you, sometimes it was just tempting to give him the ball because you knew he could make something happen.
"We would overlap at times but usually he could manage on his own.
"Maybe we will attack using more players - more like a team - this season."
Early daysThe loss of Ronaldo is too fresh to make an accurate judgement on how United will manage without the Portugal superstar.
However, they do need to produce a greater threat to opposition defences than they have managed in their opening two games, starting at Wigan on Saturday.
United boast a 100 per cent record against their North West neighbours and it will be interesting to see what formation Sir Alex Ferguson chooses, after electing to play Anderson in a wider role at Turf Moor.
Antonio Valencia seems certain to play against his former club, having injected a bit of life into United after being introduced as a substitute at Burnley.
United assistant boss Mike Phelan admits improvement is required.
"Their goalkeeper only made three saves in the entire game, which is not enough," said Phelan.
"We should have done a lot better and it is something we have to correct - and correct quickly."