The Red Devils had seemed to be coasting towards yet another title, but back-to-back defeats has allowed Liverpool to close the gap to just one point.
Question marks have been raised on whether Sir Alex Ferguson's side can finish the job, although they do have the added benefit of a game in hand.
However, Evans, who is currently on international duty with Northern Ireland, claims the players are taking everything in their stride.
"I think the press have been talking about it, but I don't think any of the lads are talking about it," Evans told Sky Sports News.
Too busy"We've been too busy to talk about it. We've just been playing one game, recovery the next day and then get ready for the next game.
"It's been a hectic schedule. We haven't really had time to think about it."
Evans already has one winners' medal to his name after United's Carling Cup success and he would love to pip Liverpool and Chelsea to the Premier League crown.
"It would be nice," he said on winning the league title. "Everyone dreams of winning the Premier League, but there are a few teams still in it.
"We'll just keep going to the end and may the best team win."