Moyes admitted that QPR's fight for survival in the Premier League meant that the match could have resulted in a slip-up for his side, but said that he was happy with the performance given by his players.
"It was always going to be a game where I had fears, I've got to say," Moyes told the club's official website.
"I was a little worried about it. QPR are desperate for the points for different reasons to us, but overall I thought we did a professional job. We played some good football at times and made quite a few chances but didn't convert them all.
"I said to the players that the job was to get this game done. It's important that you do that at this time of the year. I'm more than satisfied with the result."
Everton travel to Arsenal next on Tuesday evening.