David Wagner's side put on a hugely successful performance against Millwall in a 3-1 win at Carrow Road on Sunday afternoon.
Jonathan Rowe made it four goals in four, whilst Josh Sargent claimed his second of the season and Ashley Barnes scored his first for the Canaries.
Christian Fassnacht set up Sargent nicely after five minutes, allowing the number nine to take a shot at goal, but his effort dragged narrowly wide.
Gabriel Sara came closest inside 20 minutes as he perfectly placed his free-kick round the visitors' wall, but Millwall's Matija Sarkic got a strong hand to the shot to steer clear of goal.
However, it was Rowe who made the break through, as Barnes laid off the perfect ball for the academy graduate to slot into the bottom corner.
Sara had a shot from range at the 37-minute mark, followed by an attempt on the edge of the area from Millwall's Billy Mitchell were both unable to loop low enough to hit the target.
Just two minutes into the second half, Sargent doubled the Canaries' lead from a Sara free-kick 30 yards out. The US international was able to get his head on the end of it and the ball was knocked over the line from the post.
Things went from bad to worse for the Lions when Barnes opened his account for the Yellows after a lovely back-heel from Fassnacht set up the number 10 to turn and slot home for the third of the afternoon.
City were close to a fourth after an hour as Sargent's initial shot was blocked and Dimitris Giannoulis' effort went just over the bar.
Millwall were able to reduce the deficit in injury time, thanks to a careful placed shot from substitute Aidomo Emakhu, who managed to beat Angus Gunn and pull one back for Gary Rowett's side.
The visitors then dominated the eight minutes of injury time added on, putting pressure on the Canaries in their own half, but the score remained at 3-1 and continued Norwich's unbeaten run so far.
City travel to Huddersfield next weekend.
Norwich City XI: Gunn, Stacey, Duffy, Gibson (Omobamidele 89), Giannoulis (Núñez 89), McLean, Sara, Fassnacht, Rowe (Springett 69), Sargent, Barnes
Unused subs: Long, Warner, Fisher, McCallum, Gibbs, Idah
Goals: Rowe (25), Sargent (49), Barnes (56)
Bookings: Rowe (45+1), Omobamidele (90+3)
Millwall XI: Sarkic, McNamara (Harding 87), Wallace, Hutchinson, Cooper, Nisbet (Bradshaw 77), Mitchell (Evans 77), Flemming, Watmore (Vogslammer 69) Saville, Esse (Emakhu 69)
Unused subs: Bialkowski, Leonard, Trueman, Adom-Malaki
Goals: Emakhu (90+1)
Bookings: Mitchell (45+1)
Referee: Tony Harrington
Venue: Carrow Road
Attendance: 26,218