Washington ? Bowing to Republican pressure and an uneasy public, President Barack Obama’s administration signaled Sunday it is ready to abandon the idea of giving Americans the option of government-run insurance as part of a new health care system.

Facing mounting opposition to the overhaul, administration officials left open the chance for a compromise with Republicans that would include health insurance cooperatives instead of a government-run plan. Such a concession probably would enrage Obama’s liberal supporters but could deliver a much-needed victory on a top domestic priority opposed by GOP lawmakers.

Officials from both political parties reached across the aisle in an effort to find compromises on proposals they left behind when they returned to their districts for an August recess. Obama had wanted the government to run a health insurance organization to help cover the nation’s almost 50 million uninsured, but didn’t include it as one of his core principles of reform.

Health and Human Services Secretary Kathleen Sebelius said that government alternative to private health insurance is “not the essential element” of the administration’s health care overhaul. The White House would be open to co-ops, she said, a sign that Democrats want a compromise so they can declare a victory.

Under a proposal by Sen. Kent Conrad, D-N.D., consumer-owned nonprofit cooperatives would sell insurance in competition with private industry, not unlike the way electric and agriculture co-ops operate, especially in rural states such as his own.

With $3 billion to $4 billion in initial support from the government, the co-ops would operate under a national structure with state affiliates, but independent of the government. They would be required to maintain the type of financial reserves that private companies are required to keep in case of unexpectedly high claims.

“I think there will be a competitor to private insurers,” Sebelius said. “That’s really the essential part, is you don’t turn over the whole new marketplace to private insurance companies and trust them to do the right thing.”

Lawmakers have discussed the co-op model for months although the Democratic leadership and the White House have said they prefer a government-run option.