Senate Majority Leader Harry ReidHarry ReidTop Lobbyists 2017: Grass roots Boehner confronted Reid after criticism from Senate floor GOP in uncharted territory rolling back rules through resolutions MORE (D-Nev.) started the procedural process Sunday so that the Senate can debate and pass the budget and the National Defense Authorization Act (NDAA) before leaving from the Christmas holiday.

Reid filed cloture on the budget deal brokered by Senate Budget Committee Chairwoman Patty MurrayPatricia (Patty) Lynn MurrayA bipartisan bridge opens between the House and Senate Overnight Health Care: ObamaCare sign-ups surge in early days Collins, Manchin to serve as No Labels co-chairs MORE (D-Wash.) and her House counterpart, Rep. Paul RyanPaul RyanGOP rep: Virginia defeat 'a referendum' on Trump administration After Texas shooting, lawmakers question whether military has systemic reporting problem Pence: Praying 'takes nothing away' from trying to figure out causes behind mass shooting MORE (R-Wis.), which would end $63 billion of sequester spending cuts, and add in new fees and some federal savings to cut the budget deficit by $23 billion more in 2014.

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It easily passed the House in a 332-94 vote last week, but Reid will need at least five Republicans to join Democrats in ending debate on the measure. Most Senate Republicans have criticized the plan for not reducing the deficit solely through spending cuts.

Similarly, the House passed a last-ditch NDAA bill 350-69, which bodes well for Senate passage. The bill is a new version of the NDAA that was developed over the last two weeks, after it became clear that fighting in the Senate over amendments would stall passage until sometime in 2014. Congress has passed an NDAA bill for 51 years.

Reid said Friday that the Senate would consider the budget deal Tuesday and the NDAA Wednesday, just days before the chamber is expected to adjourn for the year.

The Senate is expected to finish up work on the confirmation of some executive nominees Monday evening.