Sky Blues boss Mark Robins says that his Coventry side had to rely on a world-class save from 'keeper Lee Burge to earn a win that brought City momentarily back into the play-off places for the first time since January.
Jonson Clarke-Harris' back-post tap-in was enough to give the Sky Blues all three points at the Ricoh Arena against a struggling Barnet side who now sit seven points from safety in SkyBet League Two.
"Marc [McNulty] got his shot away and Jonson [Clarke-Harris] has read it well and put it in the net so I am relieved," said Robins
"We can now get this game out of our system and move on to Tuesday night against Luton.
"We had to stick in. They are fighting for their lives and the pitch was poor. That made it very difficultly because the ball was bouncing high and we had to stay concentrated.
"We had to rely on a world-class save from Lee Burge in the first half to keep us in the game."
Due to the snow across England last weekend, the Sky Blues were back in action for the first time since last Tuesday, and that was clear to see for the manager.
"We did not do enough. It looked really lacklustre.
"It is disappointing to say but we looked like a team who had not played for ten days. Even though we have worked hard on the training pitch it was clear to see. It just shows you that there is no substitute for playing games.
"At the break, I just told them to up the tempo and the second half was much better.
"It still did not hit the heights that we know we are capable of, but it was better.
He added: "I am relieved to get this game out of the way and now moving on to Tuesday night we can hope that today has just got the cobwebs off."