Fleming noted that even Consumer Reports has told people to "stay away" from the website until it is fixed, and others have raised questions about security on the site.

Fleming's bill is just the latest idea from Republicans about how to delay the law, which is now in its fourth week of what everyone agrees has been a troubled rollout.

Earlier today, Sen. Lamar AlexanderAndrew (Lamar) Lamar AlexanderWeek ahead: Senators near deal to stabilize ObamaCare markets Corker pressed as reelection challenges mount Overnight Health Care: CBO predicts 15 percent ObamaCare premium hike | Trump calls Sanders single-payer plan ‘curse on the US’ | Republican seeks score of Sanders’s bill MORE (R-Tenn.) said he's writing a bill that would require the Obama administration to provide weekly updates about enrollments and efforts to fix the site. In the afternoon, Rep. Virginia FoxxVirginia FoxxAmerica’s workers, job creators need the Save Local Business Act DeVos abandons student loan servicing overhaul House Republican offers bill to reverse controversial labor rule MORE (R-N.C.) said the government should not tax anyone for failing to sign up for health insurance under the law in light of the broken website.