The Sky Blues unbeaten run in the league came to an end at the Pirelli Stadium as they lost 1-0 to Burton Albion.
A Tom Bayliss own goal was enough to separate the two sides as City came away empty handed.
Despite the defeat, Mark Robins’ men only sit outside of the Play-off places on goal difference.
Speaking after the game, defender Dominic Hyam said: “We’re all really disappointed in there.
“The gaffer is talking about fine margins and at the end of the day it’s come down to a set piece so we’re all really disappointed.
“I thought we caused them plenty of problems in the first half, we had two or three really good chances that we needed to take. We need to go again and make sure we take our chances next week.”
Brewers boss Nigel Clough was full of praise for the Sky Blues and admitted that they were the best team that he has seen his side play this season.
However, it doesn’t soften the blow for the 22-year-old.
He said: “It just hurts even more.
“We’re all disappointed in there and to hear that is not nice. Hearing that we’re the best team he’s come up against and to come away with nothing - we’ve just got to look forward to the next game.
“They’re a great team, they pass and move the ball really well. They’ve got great movement up top with Cole.
“Once we did try and break out it was just that first pass, we needed to keep it and not look for that killer pass straight away. I think that’s what outdone us a bit. Every time we did get the ball back, we were a bit too eager to try and score. Its lessons learned.
“We’ll analyse it and see where we went wrong, and we’ll try and put it right.”