The Trump administration is considering the launch of a special enrollment period for people to sign up for health coverage under the Affordable Care Act because of the new coronavirus crisis, a Centers for Medicare and Medicaid Services spokeswoman said Saturday.

At least nine states that run their own exchanges where people can go to buy health coverage have said they would let people obtain coverage under the ACA even though the enrollment season has passed. But most states rely on the federal government to run their exchanges...