The House Rules Committee approved the rule on Monday evening. The committee approved a closed rule, which means no amendments can be considered.
House Republicans spoke on the floor Monday night in favor of the bill, and continued to express their frustration at the Obama administration's threatened veto of the legislation.
"The president has the hubris to tell conservative Republicans to take a balanced approach and eat our peas," said Rep. Trent Franks (R-Ariz.), referencing President Obama's comments last week.
"If there is anything more catastrophically out of balance than our federal budget, it is the arrogance-to-competency ratio of this White House," he said.
The Senate meets at 10 a.m., on paper to take up H.R. 2055, the Military Construction, Veterans Affairs and Related Agencies Appropriations Act. But the day will be broken up by the Senate lunches, and senators do not appear likely to take up the bill or any amendments in earnest.