Aston Villa had the better of the chances, but West Ham snatched the points late on thanks to goals from Riko Ueki and Seraina Piubel.
Arsenal could still win the Women's Super League this season, though Manchester City are firmly in control of the title race.
Chelsea edged out Aston Villa in a seven-goal thriller in the Women's Super League, but Sonia Bompastor was unimpressed by their defending.
Chelsea came out on top in a seven-goal thriller against Aston Villa, with Sjoeke Nusken scoring late on for Sonia Bompastor's team.
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