"That's clearly putting the cart before the horse and clearly having things backwards in a dysfunctional process," Vitter said.

Vitter ran into opposition from Democrats and some Republicans. 

Sen. Mark KirkMark Steven KirkSenate majority battle snags Biden Cabinet hopefuls The Hill's Morning Report - Sponsored by Facebook - Senate makes SCOTUS nominee Barrett a proxy for divisive 2020 Senate Republicans scramble to put Trump at arm's length MORE (R-Ill.) said Tuesday that Vitter’s objection ought to be waved since the VA funding bill adheres to a budget proposal put forth by House Budget Committee Chairman Paul RyanPaul Davis RyanBiden's inauguration marked by conflict of hope and fear The Hill's 12:30 Report: Sights and sounds from Inauguration Day Revising the pardon power — let the Speaker and Congress have voices MORE (R-Wis.). That plan passed the Republican controlled House but failed in the Senate earlier this year.

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"I would put forward that this bill is rather unique because it conforms to the budget," said Kirk. "It conforms to the Paul Ryan budget that passed the House on April 15."

Sen. Jeff SessionsJefferson (Jeff) Beauregard SessionsHarris to resign from Senate seat on Monday Rosenstein: Zero tolerance immigration policy 'never should have been proposed or implemented' Sessions, top DOJ officials knew 'zero tolerance' would separate families, watchdog finds MORE (R-Ala.), the ranking member of the Budget Committee, last week launched a similar protest against the legislation. He argued budgetary rules prohibit the Senate from taking up appropriations work without first passing a budget. His point-of-order protest was quashed 56-40.

The legislation in question is H.R. 2055, the Military Construction, and Veterans Affairs and Related Agencies appropriations bill. It would increase funding for the VA by 5.8 percent and cut military construction spending by $2.6 billion to reflect anticipated base closures and realignments.