The match was quite literally a six-pointer as that's how many points it put between Alex Neil's brave Norwich side in 17th and their opponents in 19th.
Although Benitez's side do have a game in hand, they must play four teams with lofty ambitions before the end of the season including Southampton, Manchester City, Liverpool and Tottenham Hotspur.
Meanwhile Norwich are on an upward curve after taking seven points from their last three games.
'They know they're in a real fight'
And the manner of Norwich's performance and the celebrations that followed, has impressed former Arsenal hero Wright who praised them on BBC's Match of the Day.
"He's (Alex Neil) very happy," Wright told MOTD.
"You can see from the celebrations they're fighting for their lives, they know they're in a real fight.
"They're going for it and they're making a good fist of it."
Fate in improving Norwich's hands
Norwich have some tricky matches during their last six games with the likes of Arsenal and Manchester United still to play.
But winning breeds confidence and they will feel their fate is in their own hands with another relegation six-pointer against Newcastle's North East rivals Sunderland to come and other winnable matches against Crystal Palace, Watford and Everton to play.
Given the fact Norwich are operating on a much smaller budget than most of the Premier League it would be no mean feat if they were to seal survival in this most open of Premier League seasons.