(Bloomberg) — Women who work for religious nonprofits will have access to birth control at no cost under a procedure the Obama administration said would also relieve their employers of any moral objections to the coverage.

The nonprofits now only have to notify the U.S. government of their objections in writing, the administration said in a regulatory filing to be published today. Coverage will be arranged separately by the government through health-benefit managers.

It isn't clear whether the compromise will satisfy the nonprofit groups or the Supreme Court, which ruled earlier this year that both those organizations and closely held companies are protected from supplying birth control if they object on religious grounds. In a separate filing expected today, the U.S. said it hasn't yet finished a definition for closely held companies covered by the ruling.