The quarterback played just a couple of drives at the start of the game, before making way for backup Luke McCown.
Speaking to reporters after the 17-13 victory, the 34-year-old said: "We got some momentum during the second drive. We took some shots. I watched some guys make plays. I thought the overall efficiency was pretty good.
"The tempo wasn't quite where we wanted. We had some mental errors here and there. We were not as crisp as we would want. I think once we got going that things started to roll a little bit.
"It's not just the coaches putting it on us, it's ourselves. There's a sense of urgency. Although we've got three more weeks of pre-season, [the regular season] will be here before we know it."
The Saints play the Oakland Raiders next Friday.