Rockbottom Ipswich were behind inside the opening couple of minutes when Everton youngster Ross Barkley, on loan at Wednesday, tucked home a loose ball.
Wednesday's dominant opening subsided but the Tractor Boys did little to warm the palms of Chris Kirkland.
The hosts earned a trio of free kicks within shooting range but they were wasted by the left feet of Higginbotham and Aaron Cresswell.
Another chance came Wednesday's way when Chris O'Grady was presented with a free header but he was unable to get it on target.
Ipswich had their first shot on target just before the whistle but Josh Carson's effort was easily held by Kirkland.