The Sky Blues are through to the third round of the Emirates FA Cup thanks to goals from Marc McNulty, Duckens Nazon and Jordan Shipley.
Mark Robins' side grew more comfortable as the game went on, and after a cagey start for both sides it was City who made the most of their chances to get into the hat for tomorrow's third round draw.
"Job Done!", said Robins.
"There is a lot of pressure on these games because of the banana skin element and obviously playing on a Sunday.
"For a period it took a while to settle and it was just a tweak to the system that made all the difference to be honest.
"Our first meaningful attack ended in a goal after some good play, a good move and some good passing.
"Their 'keeper has done well to save the first effort from McNulty and Nazon has had a touch before firing the opener in. It was a good start.
"Nerves finally settled after McNulty's outstanding, really oustanding, goal. That is a really high class goal and it will do his confidence the world of good."
Coventry were two goals up by half time and made it three just two minutes after the interval.
Max Biamou came close to scoring on a number of occassions for the Sky Blues missing a golden opportunity late on to make it four but the French forward watched his header sail agonisingly wide.
"I thought Max Biamou was brilliant. We were willing him to get on the score sheet but he did everything but score. His chance at the end would have capped off a brilliant performance.
"He has been in the wars and has had a few scraped. He has got a bit of cauliflower ear too but he will deal with that.
"Shipley's goal was a good one for us because he didnt follow in a chance like that last week. The staff went through the footage with him and obivously he has learnt. That killed the game off.
He added: "We were professional to the end. They were unbeaten in twelve games, and beat Blackpool last time so they were by no means pushovers.
"Their Chairman said that they were going to cause an upset and that was interesting reading for us. Thankfully though we got the result that we wanted and we are into the hat for the third round draw."