The Toffees breathed new life into their disappointing campaign with a dramatic penalty shootout win at Stamford Bridge in an FA Cup fourth-round replay 10 days ago.
They followed up the Chelsea result with a 2-0 win over Sunderland on Saturday to move into mid-table, but their work would be undone if Reading spring a surprise in the FA Cup fifth round on Tuesday night.
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."
Source: PA
Source: PA