Victor Anichebe's late winner at the Hawthorns secured a vital away win for the Toffees, and the Scotsman is confident his side can find renewed confidence in front of goal
The Merseyside club are notorious for pushing on in the second half of the season in order to make up for their slow Premier League starts.
Whilst the lack of goalscorers has been a concern at Goodison Park recently, Moyes is confident that his side can find renewed confidence in the final third, whilst also being prepared to grind out results, as they look to climb the table.
Moyes told Sky Sports: "We tend to go on runs in the New Year. I've got to hope this could be the start of one. Everyone is talking about it and drawing my attention to it.
"Recently we have played well but not scored goals. We may need to grind a few results out. Over the years at Everton, we've needed to do that at times.
"Hopefully that might rebuild some confidence in terms of scoring some goals.
"We are unbeaten in four games and it is the sort of run you need to go on regularly if you are going to be near the top. We will try and build on it."