Current league positions suggest a no-contest at the Twickenham Stoop, with Quins currently 11 places and 27 points above their latest opponents.
While the Falcons have collected one win and a draw from eight starts, Quins boast a 100% Premiership record, while they are also unbeaten in the Heineken Cup and LV= Cup.
But fly-half Evans claims it would be foolish to dismiss the Newcastle challenge.
"Obviously, the league table shows that we are first and they are 12th, but we know they will come down here looking to win," Evans said.
"They were the last team to turn us over at the Stoop in the LV= Cup semi-final last season, so they will have a bit of confidence from that.
"We have to concentrate on the little things, keep it simple and make sure we can back up what was a pretty good performance against Gloucester last Saturday."
Reflecting on the Anglo-Welsh Cup loss to Newcastle, Evans added: "We had a really good campaign in that competition last season and set ourselves up well, and to their credit they came down here and played a really good game.
"We are still hurting from that and we know that we have to be at our best to beat them. In this league anyone can beat anyone, as we have already seen.
"We know it (unbeaten run) is not going to last forever. It will come to an end eventually.
"As long as we keep playing as we are, the results will take care of themselves, but we are under no illusions. How we get back up after that first loss will be key to our season."
England scrum-half Danny Care makes his first start of the season for Quins, replacing Karl Dickson, who is likely to be sidelined by a finger injury until January.
Newcastle boss Alan Tait, meanwhile, hands full debuts to two new recent arrivals in wing Suka Hufanga and number eight Taiasina Tuifua, with centre James Fitzpatrick, scrum-half Chris Pilgrim and prop James Hall also gaining opportunities.
"Quins are doing very well this term with their unbeaten start, and it is an achievement you have to respect," Tait said.
"However, we cannot let that overawe us. We will focus on our own game and on giving a good account of ourselves.
"I enjoy playing against Quins. They are a good team, and we've enjoyed some success in our recent matches against them."
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