Stand-in boss Moore has taken just two matches to equal Alan Pardew's total number of Premier League wins, but the former centre-back - who spent five years with Albion as a player - is simply taking it one match at a time.
"I am looking at the next game, we have come here today, got a positive result, I am just focusing on the team and performances," he told BBC Sport. "We played against a really formidable team today, asked a lot of questions, but everyone worked hard and did their jobs.
"I'm proud for players and staff and way they have acquitted themselves today. The only way we can achieve results moving forward is with togetherness. I want the players to express themselves, show the outside world what good players they are. I am pleased we managed to show everyone that today."
West Brom are now nine points from safety after picking up only their fourth league win of the campaign.