Sir Alex's men saw the lead at the top of the table reduced from 15 points to 12 on Monday night following Manchester City's 2-1 victory at Old Trafford.
Evra labelled the loss "painful" but insists no-one in the United camp is pushing the panic button and instead remain focused on picking up the points needed to seal the title as quickly as possible.
"We're really disappointed because we missed the chance to end the title [race] and, of course, we've lost the derby. When you're a Man United player losing to City is painful," he told MUTV. "We played much better in the second half and I really believed we could win the game, but the second goal killed our legs. It's a bad night for us.
"We are still 12 points clear though and now we have to win the next game. Since I've been here I've never lost two games in a row. That's why I hope
"We have to make sure we win the next game. That is the most important thing. We are still in a great position but we have to take things game by game and don't put pressure on ourselves."
- Patrice Evra