City boss Steven Pressley made three changes to his side for the derby clash, bringing in Conor Thomas, Mark Marshall and Nathan Delfouneso in place of Carl Baker, Anton Robinson and Nathan Eccleston.
It was Delfouneso who registered the first credible effort of the afternoon after 11 minutes when he pulled a shot just wide of the near post with Wolves 'keeper Carl Ikeme beaten.
The visitors returned the favour three minutes later though when a floated in cross from the right picked out Liam McAlinden to head straight at Joe Murphy.
Despite Wolves' early effort though it was the Sky Blues who were undoubtedly making all of the early running, highlighted when Mark Marshall turned Danny Batth in the 18th minute, leaving the centre half on the floor before firing just over the bar.
Murphy have to make a smart save for City though six minutes before the break when McAlinden's low 20-yard effort forced him to get down and save to his right with Jordan Clarke scrambling the loose ball clear.
Attendance: 4,585 (2,170 away)
Coventry City: Murphy (c), Christie, Webster, Clarke, Willis, Marshall, Fleck, Thomas, Prutton, Delfouneso (Seaborne 90), Wilson
Subs: Burge (GK), Adams, Baker, Eccleston, Thomas, Finch
Wolverhampton Wanderers: Ikeme, Doherty, Edwards, Stearman, Batth (c), Henry, McDonald, Evans, McAlinden (Dicko 59), Golbourne (Ricketts 83), Jacobs (Sako 59)
Subs: McCarey (GK), Davis, Price, Ebanks-Landell