Senate Majority Leader Harry ReidHarry ReidThis obscure Senate rule could let VP Mike Pence fully repeal ObamaCare once and for all Sharron Angle to challenge GOP rep in Nevada Fox's Watters asks Trump whom he would fire: Baldwin, Schumer or Zucker MORE (D-Nev.) wants the Senate to vote on just a few dozen of the more than 400 amendments offered for the 2014 budget.

"We've had about 400 amendments filed. Four hundred. We're not going to do 400 amendments," Reid said Friday on the Senate floor.

"The average that we have on these vote-a-ramas is between 25 and 35, and so everyone should understand that's about where we should wind up."

It's unclear whether Reid's comments will encourage Senate Republicans to scale back their demands. GOP senators have proposed a majority of the 400-plus amendments, and seem eager to play out a process that the Senate has not undertaken in four years.

After Reid spoke, Budget Committee Chairwoman Patty MurrayPatty MurrayDems mock House GOP over lack of women in healthcare meeting Elle honors 10 at annual 'Women in Washington' event Five takeaways from Labor pick’s confirmation hearing MORE (D-Wash.) agreed with Reid's assessment, and said voting on all 400 would take days that most senators are not willing to spend.

"If were were to vote on every one of them, we would be here voting every single hour all the way to Monday and Tuesday, and I know most members know that that's not going to happen," Murray said.

"So I would really encourage every member of the Senate to work with the manager on their side to let us know which amendments are your priority so we can get them up sooner rather than later."

Murray also encouraged senators to work to pass as many non-controversial amendments by voice vote as is possible.

The Senate will hold a series of six votes starting at 11 a.m., and by 3 p.m., the Senate will move to the "vote-a-rama," in which senators can bring up as many amendments as possible and seek votes.