A 1-0 victory against Arsenal aside, Moyes' men have not beaten any of the sides in the top nine in what has been a truly disappointing maiden season for the Scot.
Moyes wants that to change on Tuesday though.
"We want to try and perform better in the bigger games than what we have done," the United manager said.
"It will be important for us to show the level of what we have got.
"I think we have got the level and we are not as far away as many people would have us and I have no doubt it will improve. We want to show we are still in there fighting.
"We will do everything we can to win. We go out to win every game, not just the derby game.
"Obviously it means a lot more to the supporters and the city if you win a derby game."
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