Moyes: Everton can turn round season at Standard Liege
"We know a draw for them will suffice and that we have to win the game by a goal - some way or other we have to do that," insisted Moyes.
"But we also know how quickly things can change. That's what this game can do for you, and that's what we're hoping will happen.
"We hope we're only 90 minutes away from good times again. That's the plan."
Everton find themselves in a similar situation to a year ago when they were surprisingly held in the first leg of their first-round tie at home by Ukrainian side Metalist Kharkiv.
A 3-2 win on the road followed to see them into the group phase, but Moyes knows Standard are a cut above in comparison.
"There are a few similarities this season compared to last season, especially with the first game at Goodison being a draw," added Moyes.
"A lot of people thought we might get through against Kharkiv, who were a really good team.
"But Standard have shown they are a real quality side with their performances, so it will be a difficult challenge.
"We always knew it was going to be tough anyway after watching them almost put Liverpool out of the Champions League.
"We know we've given ourselves a hard task, but we were very good away from home last year. We will use that as motivation for the players, that they can do it again.
"This competition is really important for us and we want to stay in it. It was good for us last year when we talked highly of it, so I'm not going to talk it down now.
"I enjoyed it, I think the players enjoyed it, and we would really like to get through again."