The Robins were pegged back by a goal from Ross McCormack at Elland Road this afternoon. Despite coming away from the game with nothing, O'Driscoll insisted that the two sides were even.
"If we'd have walked off at 0-0 we'd be jumping. We get judges on results but the performance was better," said O'Driscoll.
"There was nothing between the two teams. I'm pleased, but disappointed with the result. We'd tried to give them things to do and by and large it worked.
"You defend as a team and we did that well throughout. We can be better but no-one is going to click their fingers to sort it."
The result leaves Bristol City bottom of the table.