And O'Dea demanded another win in Tuesday's visit to Kilmarnock.
"It was one we needed after the bad result we had in the last game," O'Dea said.
"We need to kick on to Tuesday and win again. We were hanging on a little bit and that's maybe through the lack of confidence we've had recently."
Rasmussen was delighted to have marked his Celtic debut with a goal, thrusting the ball home in the 67th minute after the ball had broken to him on the edge of the box.
"It was not the prettiest goal but they just have to go into the net to count," Rasmussen told ESPN.