QPR were far from their best but, despite a number of clear-cut openings, the Sky Blues failed to take advantage and remain perilously close to the Championship drop-zone.
The first half was all Coventry and the only thing missing from the home team was a goal.
Manager Chris Coleman recalled Michael Doyle and Stephen Hughes with both midfielders contributing to City's dominance.
Elliott Ward should have opened the scoring after eight minutes but lashed his shot over the bar from six yards following a good move involving Kevin Thornton and Leon Best.
Striker Michael Mifsud also failed to make the most of two one-on-ones with Lee Camp while the Rangers keeper made a series of important saves to maintain parity.
He kept out a long-range effort from Doyle but his best save of the first half came just three minutes before the break.
Jay Tabb produced a deft first touch to bring down Isaac Osbourne's fine long pass but his low shot was superbly blocked by the QPR keeper.
The visitors had produced nothing in attack and, considering their 3-0 drubbing of Stoke City on Sunday, showed a real lack of ambition.
Their first effort of any note came in the 51st minute but it was a speculative strike from Akos Buzsaky that cleared the Coventry crossbar.
Damien Delaney also tried his luck from distance but his shot flashed wide of Coventry keeper Andy Marshall's post.
Despite that, the Sky Blues remained on top although their efforts on goal were fewer after the break with Danny Fox and Doyle forcing saves from Camp with long-range shots.
QPR's performance was summed up by the fact that their first shot on target was a scuffed strike from Buzsaky after 72 minutes which was comfortably held by Marshall.