The Scot has revealed he is keen to bolster the Toffees' ranks if the opportunity arises, but says it will not be at the cost of losing a player.
"We wouldn't be letting anyone go, but we would like to add to it if we can," Moyes told BBC Sport.
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"But we can only do that if the players were available and it was the right deal for us. I'd like to [strengthen], but we know I've got a very small amount I could do anything with."
Moyes will be without injured duo Kevin Mirallas and Tony Hibbert over the Christmas period but is not looking to replace the pair.
He continued: "We will probably look and see if there is anything out there but I don't think the situation with Mirallas and Hibbo would change that."