The Sky Blues moved back into the play-offs after drawing at the Ricoh with Luton Town in SkyBet League Two.
City had taken the lead through Peter Vincenti and then doubled it just before half time when Marc McNulty scored a free-kick into the bottom corner.
However, the visitors scored two goals in the second 45 minutes with Scott Cuthbert and James Collins with just three minutes remaining saw them peg level.
It was the perfect start for City as they took lead after just three minutes and it was Peter Vincenti who was back in the starting eleven.
The move started after some fantastic skill from Ryan Haynes saw him beat his man down the left and his ball across the box was dummied by Clarke-Harris and it was hit by Bayliss, but his effort was saved and the rebound came out to Vincenti who slotted it past Stech for 1-0.
The visitors looked to try and create chances, but City were able to prevent them on several occasions, with Michael Doyle and Jack Grimmer both putting in last ditch tackles.
City had an effort through the returning Jordan Shipley, but his effort went over the bar from around 25 yards out.
James Collins had an effort from the edge of the box for the Hatters, but Burge was able to get down well to prevent the striker.
After a stoppage in play for Dominic Hyam to receive treatment, the game got back underway and Flynn Downes had a shot from distance for Luton, but it went just wide.
City then had their own shot from distance and it was Marc McNulty who looked to curl one into the bottom corner, but Stech tipped it behind for a corner.
Shipley was next to have a go from outside the box, but his curling effort was again stopped by the Luton ‘keeper
From the resulting set-piece the ball broke out to wide to Grimmer and after some good work he got free in the penalty area and cut it back for Bayliss, who teed up McNulty, but his effort was heading wide and an outstretched Rod McDonald couldn’t direct it goalwards.
Jordan Shipley continued to look lively as he had another shot from distance, although he couldn’t direct it on target this time.
However, with a minute to go until half-time, a free-kick was awarded to Coventry and Shipley dummied over the ball leaving it to McNulty who curled it into the bottom corner to make it 2-0 just before the break.
The first shot on goal in the second half came after 51 minutes and it was Clarke-Harris who looked to have a go from range, and his effort went inches wide.
A few minutes later and Luton had one back from a corner which went into the back post and after a block it was headed home from Scott Cuthbert for 2-1.
Clarke-Harris was involved for City in the next opportunity, this time a free-kick from range was taken by the striker, but he fired it wide.
Chances came few and far between during the next 20 minutes, with the best chance coming for City after 77 minutes when McNulty came inside on the right and produced a great save out of Stech.
However, after having a goal ruled out for offside moments before, Luton managed to grab an equaliser when James Collins headed past Burge in the 87th minute.
The Sky Blues almost responded immediately through McNulty after some good work from Haynes and the striker forced Stech into the save.
Next it was Clarke-Harris who saw his header saved by Stech and the Kyel Reid had an effort saved from just inside the area, but that would prove to be the last bit of action.
Goals: Vincenti (3’), McNulty (45’), Cuthbert (55’), Collins (87’)
Yellows: Rea (62’), Kelly (78’)
Attendance: 8,863 (2,002)
Coventry: Burge, Grimmer, Hyam, McDonald, Haynes, Shipley (Reid 63’), Bayliss (76’ Kelly), Doyle, Vincenti, Clarke-Harris, McNulty
Subs: O’Brien, Stokes, Kelly, Reid, Barrett, Ponticelli, Biamou
Luton: Stech, Potts, Cuthbert, Sheehan, Stacey, Rea (Gambin 64’), Cornick (E.Lee 64’), Berry, Downes, Collins, Hylton
Subs: Shea, Justin, Mullins, O. Lee, E. Lee, Jervis, Gambin