Late drama at Portman Road
Bersant Celina scored a stoppage-time winner as Town made it three home wins on the bounce.
Callum Morton had seemingly claimed a point for Fleetwood with nine minutes remaining following Conor Chaplin's opener but Kosovan midfielder Celina's first goal of his second spell at the Club proved to be the decider with Three Lions member, Brett Johnson, watching on from the Portman Road stands for the first time.
Paul Cook named the same starting XI from the comprehensive midweek victory over Portsmouth, Joe Pigott replacing Louie Barry on the bench in the only change to the matchday squad.
A well-worked routine following a throw-in presented Fleetwood with the first chance of note after 10 minutes but Ged Garner's effort was blocked by Toto Nsiala.
Town had the ball in the back of the net three minutes later however George Edmundson was deemed to be offside when heading Lee Evans' free-kick past Alex Cairns in the visiting goal.
Cairns denied Cook's side the opening goal shortly afterwards. Kyle Edwards slipped a pass to Chaplin inside the box, with the latter finding Macauley Bonne with a dinked cross to the back post. Cairns was in the right place to claim the striker's headed efort.
Nsiala headed over a Sone Aluko corner at the back post before the winger tried his luck himself, his left-footed effort swerving away from the bottom corner and falling wide.
A quiet close to the first half was followed by the perfect opening to the second as Town took the lead within four minutes of the restart. Chaplin collected Sam Morsy's pass on the edge of the area before turning and firing a left-footed strike into the bottom right corner to record his fourth goal inside five games in all competitions.
The Blues could've doubled their advantage 10 minutes later after Evans had picked out Edwards inside the area but the winger's powerful strike after cutting onto his left foot was parried away by a strong hand from Cairns.
Christian Walton pulled off an impressive reaction save of his own at the other end to maintain the lead, denying Garner's shot from close range.
Town continued to dominate, though, as Morsy stole possession deep inside Fleetwood's half with Bonne being denied from a tight angle before Wes Burns shot over the top of the bar from Evans' low ball into the box.
Fleetwood equalised with just under 10 minutes remaining, Morton heading into the roof of the net at the back post.
There was to be one final twist, however, as Celina volleyed past Cairns from Janoi Donacien's pull-back to claim the three points in stoppage time.
Town: Walton, Donacien, Edmundson, Nsiala, Penney, Morsy (C), Evans, Aluko (Burns 60'), Chaplin (Burgess 90'), Edwards (Celina 65'), Bonne.
Subs: Hladky, Harper, El Mizouni, Pigott.
Fleetwood: Cairns (C), Andrew, Morton, G. Garner (Lane 75'), Matete, McLaughlin (Johnston 81'), Hill, Batty, Johnson, Biggins, Clark (Pilkington 65').
Subs: Crellin, J. Garner, Edmondson, Teale.
Booked: Hill, Matete, Johnson.
Attendance: 20,099 (133 away).