The final whistle was greeted with a huge roar of delight from the 4,200 travelling supporters, who have witnessed so many disappointments since City dropped out of the Premiership seven years ago but are now dreaming of a return to the promised land and regular games against the likes of Manchester United and Arsenal.
It wasn’t exactly a straight-forward passage to Cardiff – but such was the tenacity of all 11 City players when Wolves had the ball that the hosts rarely looked capable of overturning the 3-1 deficit from last Sunday’s first leg.
Wolves boss David Jones had threatened to give the Canaries the fright of their lives in last night’s second leg. But while the home side had the majority of possession they struggled to create clearcut chances and keeper Green was only called upon to make one serious save in the entire 90 minutes.
As expected, the atmosphere at Molineux was truly intimidating from the moment City kicked off.
Whenever the home team got anywhere near the Norwich penalty area the noise from the long suffering Wolves fans was deafening - and there was no let up when City were in possession with every Norwich touch greeted by loud whistles.
But while the Wolves fans were doing their bit in the early stages the men on the pitch were giving them precious little to shout about as a series of frantic attacks came to nothing.
The opening 15 minutes produced plenty of huffing and puffing from a clearly fired-up home side but precious little goalmouth action. And it wasn’t until the 16th minute that the Canaries had their first scare of the night.
The usually flawless Craig Fleming made a terrible hash of a defensive header and the ball fell at an inviting height for Nathan Blake, who was lurking just outside the six yard box.
The Welsh international out jumped Darren Kenton to get a powerful header on target. But Green reacted as quick as a flash and produced a wonderful reflex save to keep the City goal intact.
The Canaries, who were defending with discipline and determination in those early stages were, in the face of a string of fouls from their pumped up opponents, gradually began to see some more of the ball as the half progressed with Mark Rivers looking particularly dangerous on the right flank.
Indeed it was the former Crewe man who provided the cross that so nearly led to a shock opening goal in the 25th minute.
When Clint Easton got his head to it it looked a goal all the way but the ball deflected off the shoulder of keeper Michael Oakes and went just wide of the upright.
Norwich finally managed their first shot on target when Easton’s 25-yard free-kick brought a comfortable save out of Oakes – but most of the play was in the other half as an increasingly frenetic game headed towards the half-time interval.
Wolves managed a number of efforts on goal during this period but they were all from outside the area thanks to some excellent defending from Malky Mackay and his defensive colleagues.
Colin Cameron and Cooper both tried their luck from 25 yards but each time Green was able to make a straight-forward save and, when Wolves did get in a good position seven minutes before the break, Alex Rae fired horribly wide, much to the disgust of the increasingly frustrated home supporters.
The situation was also getting to the Wolves players with Joleon Lescott, Dean Sturridge and skipper Paul Butler all receiving yellow cards for petulant fouls as the match threatened to boil over in first half injury time.
The one worrying note for Norwich at this stage was the sight of David Neilsen limping with what was diagnosed as a slight groin strain.
The Danish striker didn’t appear after the break and the formidable figure of Iwan Roberts took his place. But the enforced change didn’t effect the quality of City’s performance.
Once again they set out to frustrate their opponents and this time Wolves looked totally incapable of finding a way past the red barricade.
The first 15 minutes of the second half were particularly quiet as the Canaries stood firm and it wasn’t until the 61st minute that the home side got sight of goal with Gunner Halle cutting inside his marker on the right before curling a shot just wide of the upright.
At the other end City was suddenly beginning to find more space and a spell of neat passing football culminated in their clearest opening of the whole match on 69 minutes.
Easton delivered another of the accurate crosses from the left which has become his trademark during City’s memorable run and there was the unmistakable figure of Roberts at the far post with the goal at his mercy.
But the fans behind the goal waiting to celebrate saw the big striker flash his diving header agonisingly wide of the upright – and seven minutes later Wolves finally gave themselves some hope to cling onto.
Cooper, who had been one of their better players over the two legs, picked the ball up midway inside the City half and took a few paces forward before trying his luck from all of 25 yards.
It seemed an act of pure desperation but, seconds later, the ball was flying past Green into the back of the net.
Suddenly it was ‘game on’ again and, a minute later, City had an anxious moment when the ball bobbled around in the box following a Cooper corner.
But the men in red soon gathered themselves for the challenge ahead and it wasn’t until the 87th minute that they had another anxious moment.
A superbly weighted free-kick from substitute Mark Kennedy found Butler unmarked at the back post - but he directed his free header wide of the target and from then on it was relatively plain sailing, though referee Tony Leake’s decision to add on five minutes of injury time did little to calm the nerves of the travelling fans.
A few desperate high balls were pumped into the City area but the visitors’ defence comfortably cleared their lines and everyone could start looking forward to a day out in Wales on March 12.
Few among the travelling contingent would have predicted such an outcome on the evening of Friday, March 15 when the Canaries lost 1-0 at home to Birmingham to fall six points adrift of the playoff positions.
Many pundits were writing off the Canaries after that disappointing defeat but they promptly picked themselves off the ground and won five of their next seven matches to earn a place in the top six.
Now the challenge is to keep this incredible run going for another 90 minutes and after what has happened over the last seven weeks no one will be writing off Worthington’s men when they walk out at the Millennium Stadium in 11 days time.