Sam Allardyce has refused to get carried away after Albion's first consecutive victories this season.
Albion's 3-0 victory over Southampton moved the Baggies on to 24 points from 31 games - eight points behind 17th place Newcastle.
The Baggies boss is still hoping to lead Albion to safety this season but is taking each game as it comes.
Speaking to the official website he said: "I’m delighted for the players and the staff and the fans.
“We’ve come through the game with a clean sheet and three very good goals.
“It should’ve been more. It could’ve been four or five by half-time. We weren’t quite as a clinical as we were against Chelsea, but we were clinical enough to win 3-0 which is absolutely brilliant.
“We’re all staring at the table and it’s still a big task unfortunately."