Lewis Emanual grabbed his first goal since moving from Bradford in the summer as Mike Newell's side kept their 100 per cent record intact.
The midfielder struck in first-half injury time to follow up Saturday's 2-0 victory over Leicester.
Wednesday, with three strikers injured, are already a team with problems
Wednesday were in trouble in the opening minute as Carlos Edwards chased a long ball downfield but was foiled by Brad Jones as he charged off his line to block the shot.
The ball rolled to the lurking Warren Feeney who fired towards the empty net but John Hills nipped in to head clear.
Steven MacLean, looking sharp after his long injury lay-off, proved a handful minutes later as he cleverly twisted past his marker to finish with a low left-foot shot which flashed wide of the near post.
Wednesday, who picked up a valuable point at Preston on Saturday, carved out an opening after American full-back Frankie Simek won a strong challenge.
The little defender picked out Glenn Whelan with a precise cross only for the transfer-listed midfielder to volley high over the top from 18 yards.
Jones, on a three-month loan deal from Middlesbrough, saved Wednesday again after Edwards' deep cross fell nicely for Feeney.
The Luton striker slammed in a low strike from six yards as Jones blocked the ball with his legs.
Full-back Sol Davis caught Wednesday sleeping as he ran on to a looping cross to drill in a stunning drive from long range which dipped the wrong side of the bar.
Wednesday should have snatched the opener in the 40th minute after the ball broke loose to Burton O'Brien.
The ex -Livingston midfielder burst from midfield to fire in a low left-foot shot from just inside the area which was palmed clear in spectacular fashion by Marlon Beresford.
Yoann Folly fired over the top before Emanuel produced a stunning strike from 25 yards which zipped into the side netting before the former Bradford midfielder broke the deadlock in first-half injury time by stabbing the ball past the helpless Jones from 16 yards.
Jones served up another stunning stop diving to his left to palm away Feeney's curling shot.
Substitute Sean McAllister should have headed home minutes from time as he jumped to meet Hills cross but he nodded over from close range.