Other Republicans said it would violate their campaign pledges to not at least send a repeal of the health law to Mr. Obama’s desk. House Republicans have voted repeatedly to repeal the law, but the Senate hasn’t voted on a stand-alone measure just repealing the ACA.

“Our plan is to use it to repeal Obamacare and I hope we stick to the plan,” said Rep. Gary Palmer (R., Ala.), also on the budget panel. The Senate budget, approved last month, did include a repeal of the health law.

House and Senate budget negotiators convene Monday for the first public meeting on meshing their fiscal 2016 blueprints. House Majority Leader Kevin McCarthy (R., Calif.) said last week he expects the House to pass the combined budget by the end of the month.