Senate Democrats believe they have an opening to prop up Obamacare’s insurers by passing a bipartisan stabilization package, despite opposition from Republicans.

Several Senate Democrats said they were heartened that most insurance regulators at a hearing Wednesday called for Congress to create a new federal reinsurance program, which would pay Obamacare insurers that enroll sicker, more expensive people. That unified industry stance makes Democrats optimistic about passing something, even though Republicans are wary of adding reinsurance to a narrow deal to stabilize Obamacare’s exchanges.