West Ham must overcome a 1-0 deficit in the second-leg of their Europa League quarterfinal.
Moyes said: "Sevilla would be classed as favourites for the tournament.
"We didn't do too badly against them, but we're going to have to do much better to get through against them. We're looking forward to it.
"I would more hope we're going to show a mature performance throughout the game and be able to adapt to situations.
"We've got to make sure we get a result at home in 90 minutes - that's the first thing I'm focused on."
Moyes doesn't mix his words when he talks about West Ham's goals.
"We're here to win. We want to win," he said.
"It can be a great experience, we'll always remember it, but what will make us remember it even more is winning.
We have to play with that level of experience, which I hope we can do.
Moyes says supporters will have an important part to play against Sevilla.
"Sometimes you need the crowd to lift the players as well," he said.
"We're going to play against a side who will make it difficult and maybe disrupt the game at times. We're going to need the crowd to see that as well.
"If you're second in La Liga, you have to be some side.