Sen. Dick DurbinRichard (Dick) Joseph DurbinDems confront Kelly after he calls some immigrants 'lazy' McConnell: 'Whoever gets to 60 wins' on immigration Hoyer: DACA deal a long ways off MORE (D-Ill.) filed a motion to end debate on Brennan's nomination early Thursday morning. Soon after the Senate resumes at 10 a.m., senators will be able to debate Brennan's nomination.

But the filing of the cloture motion on Thursday means the Senate might have to vote on that motion Saturday, unless both parties agree to an earlier vote. Despite Paul's filibuster, Democrats are hoping some agreement can be reached with Republicans to vote today.

The House will meet for a brief pro forma session, but has no plans to work today. The House approved a 2013 spending bill Wednesday and left for the week because of yesterday's snowstorm.