Blues now face Reading for the chance to reach the quarterfinals.
Moyes said: "I don't think we have had our feet off the ground for a long time.
"We have done nothing this year to jump up and down about and say we are doing well.
"We had a really good victory against Chelsea, but that's all.
"Two weeks ago you were probably asking, 'Were we in a relegation battle?' and I would have said 'yes'.
"We could well still be if we don't keep picking up points.
"We have got to do that first and foremost and if we do pick up the points, then we will try to see how close we can get to the European places."