It moves them one win away from safety - which could come on Tuesday against Reading - and was almost the perfect response to the Football League's ruling on Friday.
Indeed, had it not been for a glut of missed chances then Steve Evans' men could have been off to the travel agents to book their summer holiday.
Here's five things we learned from the game.
The Millers spirit is well and truly there
There's been just a few occasions this season where it's been questioned whether the unbelievable spirit that helped propel the Millers to back-to-back promotions was still present, but it was emphatically proved on Saturday. Although Evans' team-talk will have been done for him with Friday's news of a points deduction, the Millers picked themselves off the floor and showed the spirit and togetherness which will help them stick to their vow of making the Football League's ruling academic. There was no sulking or feeling sorry for themselves as they matched a team who would not look out of place in the Premier League. Even when they faced setbacks in the 90 minutes, such as falling behind or Matt Derbyshire's excruciating miss, they rallied and ultimately produced enough to get a point. Show anything like that amount of will and desire in their remaining two matches and they'll be doing the two-fingered salute to the Football League.
It's an emotional rollercoaster watching the Millers
The play-off final at Wembley, Alan Lee's last-minute promotion winner, final-day survival against MK Dons, the Millers have never seemed to do things the easy way and supporting them is a stressful job. The visit of Norwich was never likely to be any different and the home faithful were put through the ringer on an enthralling afternoon of ups and downs. Up when Lewis Grabban was sent off, down when Millwall forged a two-goal lead to put the Millers in the bottom three, up when the Millers went on to boss the next 30 minutes, down when Gary Hooper scored an absolutely stunning goal to put Norwich, even further down when Derbyshire inexplicably missed an open net and crucially up when Jordan Bowery nodded home and news of Millwall's capitulation came through. It truly was a roller-coaster afternoon where hearts were put on the line. It's unlikely to be any different on Tuesday night and you know what, most people wouldn't have it any other way.
The subs did their job - eventually
A wise footballing man from these parts once said "Adam Hammill is the sort of player that gets you relegated". And when the Huddersfield loanee, who came on for Ben Pringle, had performed an unnecessary amount of stepovers with no one in a five-metre radius of him and then blazed an ambitious shot high and wide with the Millers still trailing, those words seemed to be ringing true. Similarly with Bowery, who for the opening 10 minutes of his cameo looked like he needed a good shake, you were questioning exactly what sort of impact he was going to make. Never has a 6ft-plus strapping athlete seemed so desperate for a bowl of Weetabix. For a time, you could have been excused for thinking, 'Well if these are our options off the bench, then we're screwed'.
But for all that ineffectiveness, it was the two subs that contributed the most as they combined for the crucial Millers equaliser. Hammill showed great endeavour to get into the box and battle for the ball before crossing for Bowery, who climbed the highest and headed in. Everything they did, or didn't do, before that doesn't matter.
It only takes a minute
At one point in the afternoon things looked so bleak for the Millers and very sweet for Norwich. When Derbyshire put that chance wide a huge wave of dread came over New York as it looked as if it would just not be the hosts' afternoon, and with Millwall beating Derby, they were facing the prospect of slipping into the relegation zone for the first time since November. Meanwhile, the Canaries were loving life, winning with 10 men and going back into the top two owing to Middlesbrough's defeat at Fulham. Fast forward nine minutes and it was all change. Bowery forced a much-deserved equaliser, which would have still kept the Millers in the bottom three, but pulled the rug from under the feet of Norwich's automatic promotion hopes. But, as if the scheming footballing gods had planned it all along, at virtually the same time, Millwall conceded an 85th-minute leveller to draw 3-3 to ensure it's as you were in the race for survival. With the Championship regularly providing fantastic last-day drama, where teams with nothing riding on it often play the role of party poopers, the Millers will be well-served to get their business done on Tuesday.
Back Norwich for the play-offs
The fact that it was impossible to tell who was playing with 10 men for the majority of the game is testament to how well Norwich performed against the Millers and with it looking like they will miss out on automatic promotion, the Canaries have to be a strong bet to win the play-offs. First and foremost they have the players capable of producing something special, typified by Hooper's absolutely fantastic strike, which looked like earning them the points. Their attacking options, with Cameron Jerome a physical threat, Nathan Redmond bombing forward and Graham Dorrans pulling the strings are frightening while defensively, led by Russell Martin and a keeper who has played for England in John Ruddy, they kept a rampant Millers at bay for much of the game. Their biggest problem could be how they are affected by being condemned to the play-offs having been in the top two. Get over that and, with their superb form on the road good enough to get them through an away leg, they could be nailed on for a Wembley appearance.
