Funds giant State Street Global Advisors is embarking on a push to get large firms to put more women on their boards by voting against directors if they fail to make female appointments, The Wall Street Journal reports.

SSgA, which manages $2.47 trillion and is known for its index funds business, will not set exact quotas for female representation on company boards, but the firm must prove it had attempted to diversify. It wants companies it invests in to identify problems with their nominating procedures that may contribute to a lack of female board members.