City host Premier League giants Chelsea in the sixth round of the cup at the weekend, but ahead of that the Blades visit the Ricoh Arena in a Championship clash on Wednesday night.
Coventry are unbeaten in four league games and six matches in all competitions, and Coleman wants his side to extend that run by not taking their eye off the ball against the Yorkshire club.
"I don't want anyone thinking we can play at 80 per cent on Wednesday in case we get injured for Saturday," said Coleman. "We have got to continue with what we are doing, which is working hard, showing a bit of excitement when we have got the ball and being difficult to beat when we haven't, because that is a good mix.
"I don't care about Chelsea at the moment. Let's get this win against Sheffield United and let's keep climbing. Sheffield United are in and around the play-offs so it is going to be another hard game and we have got to keep it going.
"We want another three points because it is another chance to move up the league again."