"We had the better chances and the better of the play. I'm happy with the performance and just disappointed with the result because we did enough to have won the game," McCarthy told the club's official website.
"Their keeper made two fabulous saves and we didn't make the most of the situations we created but it's another point. It keeps Peterborough below us in the league."
Next up for Ipswich is a home match against Bolton Wanderers a week today.