U.S. Department of Health & Human Services (HHS) Secretary Kathleen Sebelius testifies before a House Education and the Workforce Committee hearing on Capitol Hill in Washington, June 4, 2013. (REUTERS/Jim Bourg) Kathleen Sebelius  (Jim Bourg/Reuters)

House Speaker John A. Boehner (R-Ohio) wouldn’t say Tuesday whether he believes heads should roll over the botched launch of the new government Web site built to help Americans register for new health-care coverage.

Asked by a reporter whether Health and Human Services Secretary Kathleen Sebelius should be fired over technical glitches associated with HealthCare.gov, Boehner said, “That’s a decision for the president to make.”Sebelius is making the rounds on television shows to defend the launch of the Web site, which has been slow to load and difficult to navigate for some people seeking to register for health-care coverage. A temporary shutdown over the weekend alleviated some of the technical concerns, according to administration officials.

Sebelius said Monday on "The Daily Show" that the rollout "started a little rockier than we'd like."