The Toffees, who are fifth in the table, won 2-1 at Bolton in the FA Cup on Saturday but have drawn their last two league matches 0-0 against Swansea and Southampton.
Moyes, whose side are also at home to Aston Villa on Saturday, said: "We've worked hard to be in a strong position in the Premier League. We're slightly disappointed that we drew the last two games but it hasn't got us in any worse position.
"We've now got a couple of home games and we have to try to take advantage of it. But West Brom are a tough nut to crack. They're one of the only teams who have beaten us this season, and I think Steve Clarke's done a really good job.
"If anybody's turning up thinking this is a foregone conclusion, they're quite a bit off the mark I think.
"We just have to keep ploughing on and picking up the points. January's a long hard month, which it's proved to be. Once we come out of this month we can maybe look to see where we've got to go."