But the defender admits there is still 'plenty to work on'.
Unlike last year, Blues have been uncharacteristically fragile in defence during the opening games of this campaign and individual errors have cost them points.
Saturday's 1-0 win against The Posh saw Lee Clark's side climb out of the bottom three and they will now look to take heart from that result when they travel to Nottingham Forest in their next league outing.
"We’ve been creating chances but I think we’ve been uncharacteristically conceding sloppy goals which we didn’t do last season and that has been the difference," said the full-back.
"It was a scrappy horrible game but it was the three points that were the most important thing, especially going into the (international) break.
"With the goal, sometimes you get the breaks. It wasn't pretty, but before the game we were just saying we needed a win by any means necessary.
"Again we rode our luck a few times in the second half and we didn’t seem to get out. But we kept a clean sheet for the first time this season so that was pleasing, but we’ve still got plenty to work on."
Murphy revealed that he struggled with his own fitness towards the end of Saturday's game and that a free weekend had come at just the right time.
"We were playing with ten men for the last 20 minutes," he added. "I couldn’t move. My knee swelled up again but I’ll get that right and get ready for the Forest game.
"Wins breed confidence and hopefully this will kick us on. We’ve got two weeks to work on things and look forward to the Forest game."