Albion will have to wait to secure WSL safety.
They went down 4-0 at home to Arsenal after a nightmare start at the Broadfield Stadium.
Sweden forward Stina Blackstenius struck in the sixth and eighth minutes to set the visitors on course for a comfortable victory.
Frida Maanum and Victoria Pelova also claimed first-half goals for the Gunners, who climbed above Manchester City on goal difference with a game in hand.
Albion might have provided the crowd of 4,411 with a goal in the second half.
Elisabeth Terland and Julia Zigiotti both forced saves from Manuela Zinsberger.
Megan Walsh produced a couple of stops to ensure Arsenal did not do further damage.
Albion remain five points clear of Reading going into the last two rounds of fixtures.
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