Albion should be at least two goals ahead of Huddersfield but find themselves being held at 1-1.
Davy Propper has a superb chance to score after just 20 seconds but scuffed his shot wide when clean through.
Albion went in front through a Solly March goal on 29 minutes although it looked to take a touch off Terriers keeper Jonas Lossl.
Just four minutes later and under no pressure, Shane Duffy passed the ball into the path of Terence Kongolo.
Steve Mounie finished off the move by sidestepping Matt Ryan and scoring the equaliser into an empty net.