Charlie Austin's 94th minute goal snatched all three points for Burnley at the Ricoh Arena this afternoon.
After a goalless first-half the home side took the lead in the 59th minute when Cody McDonald headed in Chris Hussey's centre.
Coventry's lead didn't last for long as 14 minutes later, Ross Wallace slotted home from Jay Rodriguez's flick-on before Austin's late strike.
The striker found space after a goalmouth scramble to fire home and send the visitors back to Lancashire with all the points.
Burnley rise to 16th while the Sky Blues lie precariously above the bottom three in 21st.