"I think we should have got a point. We were poor in the first half, Coventry bossed it. We tried to change it and go with three lads with pace up front but we didn't get going. It was a sloppy goal we conceded from the corner," Moore told the club's official website.
"But give them credit we've had a right go in the second half, had four kicked off the line and on another day... Someone has to be more ruthless, we had a free header four yards off the line. We showed a bit in the second half what we're about.
"It was always going to be a tight game. It would have been great to get something and I think we deserved something but in football you don't always get what you deserve."
The result leaves Tranmere at the top of League One on goal difference, but second-placed Doncaster Rovers have played one game fewer.