[Updated at 12:23 p.m. ET] President Barack Obama announced a compromise Friday in the dispute over whether to require full contraception insurance coverage for female employees at religiously affiliated institutions.

Under the new plan, religiously affiliated universities and hospitals will not be forced to offer contraception coverage to their employees. Insurers will be required, however, to offer complete coverage free of charge to any women who work at such institutions.

Female employees at churches themselves will have no guarantee of any contraception coverage - a continuation of current law.

There will be a one-year transition period for religious organizations after the policy formally takes effect on August 1.

"No woman's health should depend on who she is or where she works or how much money she makes." Obama said at the White House. But "the principle of religious liberty" is also at stake. "As a citizen and as a Christian, I cherish this right."

[Updated at 10:11 a.m. ET] The Obama administration's contraception compromise will expand the religious exemption for religiously affiliated universities and hospitals, a source tells CNN Friday. Individuals will be able to get contraceptive coverage directly from insurers.

[Initial post, 8:30 a.m. ET] The White House probably will announce a compromise Friday on a controversial rule requiring religiously affiliated employers to provide full contraception coverage to women, an administration source said.

News of the possible compromise comes after days of escalating partisan and ideological rhetoric over the pending rule, which many Catholic leaders and other religious groups oppose.

As currently written, the rule would exempt churches, but hospitals and schools with religious affiliations would have to comply. The new policy is set to go into effect on August 1, though religious groups would have a yearlong extension to implement the rule.

The administration has been examining laws in 28 states that have similar coverage requirements, senior administration sources said this week. Two sources have told CNN that the administration is particularly interested in the Hawaii model, in which female employees of religious institutions can purchase contraceptive coverage directly from the insurer at the same price offered to employees of all other employers.

Another possible solution, one source has said, would be legislation allowing women employed by religiously affiliated employers to get contraceptive insurance from the exchanges created under Obama's sweeping health care reform rather than from their employer's insurer.