A group of 15 fiscal conservatives in the House sent a letter to Senate Majority Leader John Thune, R-S.D., on Tuesday warning that “weakening” the cuts would “undermine both his leadership and the discipline our budget urgently demands.” Instead, the group urged the Senate to pass the rescissions package as-is.

The Republican-led Senate voted to defund the Corporation for Public Broadcasting, a move expected to have the most notable impacts in rural areas.

The Republican-controlled Senate faces a major litmus test on whether it is willing to codify cuts to the federal government going forward.