Viktor Gyokeres came the closest to finding a winner for the visitors, when his looping header was deflected onto the crossbar and out.
Antoine Semenyo had the best chance of the match for the hosts, who also came close through Han-Noah Massengo.
The result sees Nigel Pearson’s side move up to 11th, while the Sky Blues remain bottom.
Tale of the match
Despite a slow start to the match from both sides, it was the Robins who came the closest to opening the scoring after 13 minutes.
Nahki Wells teed up Han-Noah Massengo, whose fizzing 20-yard effort flew just past the post of Ben Wilson’s goal.
The home side then began to increase the tempo, but struggled to force any openings in the opening 25 minutes.
The Robins almost got their reward on the half hour mark, through Semenyo. Wells turned on the edge of the box and floated a left footed cross to the back post. Semenyo was on hand to fire at goal, but saw his half volley saved behind for a corner.
Pearson was then forced into a first half change when Kal Naismith went down five minutes before the break.
The defender was replaced by Joe Williams, which saw Andy King move into the middle of the back three.
There was little to add for the rest of the half, as the sides went in goalless at the break.
Mark Robins’ side came out the stronger of the two in the second half, and almost took the lead on the 50 minute mark when Gyokeres’ looping header was headed onto the crossbar and out by Mark Sykes.
The Sky Blues continued to assert themselves in an attacking sense, as Kasey Palmer’s low strike was well held on to by Daniel Bentley.
Bentley came to his side’s rescue once more with half an hour to play, when neat work from Palmer saw him slide Gyokeres through on goal.
The Swedish striker looked set to open the scoring, but the goalkeeper was out quickly to block the right footed attempt.
Pearson’s side gained greater control of the match as the game went on, but found it difficult to create any openings.
Young striker Tommy Conway was introduced after 76 minutes, and almost made an instant impact.
Jay Dasilva’s right footed cross was glanced goalward by Weimann, Conway was five yards from goal but couldn’t react in time to prod towards goal.
The Robins looked the most likely to find the breakthrough late on, and Wells almost did so with an acrobatic effort.
Following good work from Weimann, the ball looped up to the Bermudan, whose bicycle kick was tipped over by Wilson.
But the away side were in no way hanging on, and had an opportunity of their own to find a winner seven minutes from time.
Godden beat King on the left and cut in onto his right footed, his strike looked goalbound, but Atksinon was on hand to make a last ditch block and deflect the ball over the crossbar.
The game eventually petered out, after an overall scrappy display from the two sides.
Daniel Bentley - 8
Untroubled in the first half, but assured when called upon. Made a big save to deny Gyokeres. Clean sheet.
Zak Vyner - 8
A very solid display defensively, and showed an excellent range of passing when in possession. Confident performance.
Kal Naismith - 7
Made a couple of unnecessary errors early on, but overall looked solid at the heart of the defence. Forced off with an injury before the break.
Rob Atkinson - 7
Relatively untroubled but was neat and tidy when called upon. Came forward with the ball well. Booked.
Mark Sykes - 6
A threat going forward as always, just couldn’t find the final piece of quality. Cleared Gyokeres’ header off the line.
Andy King - 6
Struggled to dictate play early on, but grew into the match. Was composed on the ball. Looked confident when moved into defence.
Han-Noah Massengo - 6
Energetic in the middle and dictated the play, picked out some nice passes.
Jay Dasilva - 6
Had a lot of the ball on the left flank and provided some dangerous crosses. Solid defensively.
Andi Weimann - 6
Had little impact on the match early on, but floated into some nice positions and made a few key passes.
Antoine Semenyo - 6
Had a few good moments but not his best night. Could’ve scored with a half volley and was a threat with his pace and power.
Nahki Wells - 6
Good cross for Semenyo in the first half, but had little impact in an attacking sense otherwise.
Joe Williams (subbed on for Naismith, 38’) - 6
Was a steady figure in the middle of the park, moved the ball nicely.
Tommy Conway (subbed on for Semenyo, 76’) - 6
Looked bright when he came on.