The 28-year-old Argentinian saw his side squander a 2-0 lead over struggling Wolves on Saturday to emerge with only a point when three were there for the taking.
However, the Magpies will have little time to reflect on a disappointing Saturday afternoon as they begin preparations for next Sunday's clash with the Black Cats on Tyneside.
Even with Alan Pardew's men in sixth place in the Barclays Premier League table, the completion of a double over their arch-rivals would go much of the way to making the season for their fans, and provide the perfect antidote to a wasteful Saturday afternoon.
Gutierrez said: "We lost two points, so we were upset about the result. But now we have to focus on the next game.
"Of course that's a game that stands out. It's something completely different compared to any other game in the Premier League.
"We know what the fans expect from this game - they don't care if you play well, just about the three points.
"We are at home, so we have to take the three points because yesterday [Saturday], we lost two, so we have to get the win next week."
It all started so well for Newcastle who, despite not playing particularly well, raced into a 2-0 lead within 18 minutes to leave new Wolves manager Terry Connor staring down the barrel of a mauling in his first game at the helm.
Big-money January signing Papiss Cisse set the ball rolling with a sixth-minute opener, turning home Cheick Tiote's long-range effort after Yohan Cabaye had robbed Christophe Berra to spark panic in the visitors' rearguard.
The Magpies extended their lead in style 12 minutes later when Gutierrez latched on to Kevin Doyle's clearing header and took a controlling touch before blasting an unstoppable rising drive past goalkeeper Wayne Hennessey.
It should have been plain sailing from there, but Pardew's men emerged for the second half in strangely subdued fashion and with Connor having galvanised his players at the break, a fightback was launched.
There was an element of good fortune about their first goal when Matt Jarvis' 50th-minute shot looped up off full-back Danny Simpson and cleared keeper Tim Krul's despairing dive.
But there was worse to come 16 minutes later when Newcastle failed to deal adequately with a Jamie O'Hara free-kick and Doyle stabbed home an equaliser from close range.
Substitute Hatem Ben Arfa twice went close to a winner in a frantic conclusion to the game, but there was little argument that the visitors were worthy of a point.
Gutierrez, whose goal was his third against Wolves, was able to take little consolation from it.
He said: "I don't score too many and I have three against Wolves. But after this one, I am not happy at all because we didn't get the three points."
It is perhaps a measure of how far the Magpies have come in the last year that a draw felt like a defeat, and while it was an opportunity missed, Pardew is confident it will not derail what has been a hugely encouraging season to date.
He said: "We have taken the draw, we have to accept that, and hopefully if we can win against Sunderland, we will be in good shape."
Pardew will keep his fingers crossed that Cisse, Demba Ba and Cabaye, who all looked uncomfortable after taking knocks, will be fit for the derby.
As Pardew contemplates a battle for local pride, opposite number Connor will prepare for a trip to Fulham warning his players that he will select what he believes is the best team for each individual game regardless of price-tags or reputations.
He said: "I told the lads every game will be treated on its own merits.
"We have done one and we will look to prepare for Fulham and look at Fulham and make our plans for that game.
"I will pick what I think is the best team for that game regardless of captaincy or how much people costs or reputation.
"I will pick what I think is the best team for that game."