Curry played the first two periods and stopped 33 of the 34 shots he faced. Gustafsson was peppered with 25 shots in the third period and denied them all.
Matt Dumba and Zack Phillips had a goal and an assist each for the Wild; Jonathon Blum, Jason Gregoire and Zack Mitchell also scored; and Jordan Schroeder and Michael Keranen registered two assists apiece.
Matt Carey had the only IceHogs goal as Rockford took an early 1-0 lead.
The 59 shots were the most by an AHL team this season. The 58 saves by the Wild were the most in an AHL game since Jan. 5, 2007, when Manchester’s Jason LaBarbera stopped 59 of 61 shots in a game at Hartford.
For their efforts, Gustafsson was named the first star of the game while Curry was selected as the second star.