In case that effort fails or bogs down, the House Committee on Appropriations has drafted a provision to stop the I.R.S. from enforcing the mandate. The restrictions, for the fiscal year that starts Oct. 1, are included in an appropriations bill that was approved on Thursday by the Subcommittee on Financial Services and General Government.

“None of the funds made available by this act may be used by the Internal Revenue Service to implement or enforce section 5000A of the Internal Revenue Code,” which imposes the tax penalty on people who go without insurance, the bill says.

The bill would also prohibit the I.R.S. from enforcing a requirement that employers and insurance companies inform the government of the name and Social Security number of anyone to whom they provide health insurance coverage. The government uses these reports to help administer the individual mandate and other requirements.