Evans is happy seeing Liverpool boast a 100 per cent record so far.
"So far this season it has been win, win, win – which is brilliant," he told Liverpoolfc.com.
“We're not playing at our very best, Jürgen has admitted that and I agree. We have not been brilliant but we've been a lot more compact.
“To win games on the days you don't play so well, that's a hint of saying you have a chance to win the Premier League because when we play well, which is most of the time, we win. And if we can add the results of the odd bad day to it, you're going to be pretty close."
Evans continued: “Jürgen has tried to keep his team more or less the same. He has been quite critical even when we have won: 'This wasn't us at our best, we can get better.'
“The World Cup takes a little bit of the legs out of some of your players but they'll start to come into consideration and give us more on the day.
“But as starts go, you can't ask for anything more and I do think we can get better. I think we'll be up there with always two, three or four teams that have got a chance of winning it.
“Hopefully this is our year because I've waited long enough! We didn't win the Premier League in my time or anybody's time, unfortunately, so I'd like to see us win it."