Senators on the health committee are working over the weekend to try to reach an agreement on a stabilization bill for Obamacare that they hope will temper insurer exits and premium increases expected for customers who will buy coverage on the exchanges.

The negotiations follow four hearings during the last two weeks in which senators from both parties on the Health, Education, Labor and Pensions Committee heard from governors, health insurance commissioners, health policy experts and insurers. Republican Sen. Lamar Alexander, HELP Committee chairman, and Sen. Patty Murray of Washington, the committee’s top-ranking Democrat, are expected to release a bill early next week.