Sen. Rand PaulRandal (Rand) Howard PaulThe Hill's Morning Report — Trump applauds two-year budget deal with 0 billion spending hike The Hill's Morning Report — Mueller Time: Dems, GOP ready questions for high-stakes testimony This week: Mueller dominates chaotic week on Capitol Hill MORE (R-Ky.) said Tuesday that he's considering a filibuster of the budget agreement to fund the government for the remainder of this fiscal year. 

Paul, who said yesterday that he would vote against the agreement reached last Friday to cut $39.9 billion between now and September, acknowledged that he's considering waging a filibuster, which would make it so that leaders need 60 votes to pass the deal and advance it to President Obama's desk.

"Yes, but we haven't really made a final decision on that yet," Paul said on conservative talker Sean Hannity's radio show. 

A filibuster would make it difficult for the Senate to pass the budget deal by midnight Friday, when the government's spending measure expires.

Paul acknowledged that even if he were to filibuster, it's unlikely that he'll attract 40 other senators' votes in order to sustain his procedural roadblock to the budget deal.

But such a move might crystallize conservative dissatisfaction with the deal brokered by House Speaker John BoehnerJohn Andrew BoehnerBoehner won't say whether he'd back Biden over Trump The Hill's Morning Report - Trump seizes House impeachment vote to rally GOP Amash's critics miss the fact that partisanship is the enemy of compromise MORE (R-Ohio) in last-minute negotiations with Obama and Senate Majority Leader Harry ReidHarry Mason ReidAl Franken says he 'absolutely' regrets resigning Dems open to killing filibuster in next Congress Webb: Questions for Robert Mueller MORE (D-Nev.). Conservatives are angry the deal falls short of the benchmark of $100 billion in cuts below Obama's original budget proposal for this fiscal year.

Paul said that he would be more inclined to block action in the upper chamber if it led to consideration of the Senate GOP's balanced budget amendment. 

But even if it came up in the Senate, Paul said that House GOP leaders would be reluctant to bring it up because even Rep. Paul RyanPaul Davis RyanJuan Williams: Trump fans the flames of white grievance Ex-White House spokesman Raj Shah joins Fox Corporation as senior vice president Trump quietly rolled back programs to detect, combat weapons of mass destruction: report MORE's (R-Wis.) budget does not balance out for at least two decades.

"My sense is that because it takes 28 years to balance the budget under Ryan's plan, the House does not want to pursue a balanced budget amendment," he said.

"The problem is that I don't think I have the leverage now."

A spokesman for Speaker John Boehner (R-Ohio) said passing Ryan's budget plan is the first priority.

“The balanced-budget amendment, which must be ratified in the states, represents a long-term option, but right now we’re focused on the Ryan budget we hope to pass this week, which will put out us on a path to pay down the debt," BoehnerJohn Andrew BoehnerBoehner won't say whether he'd back Biden over Trump The Hill's Morning Report - Trump seizes House impeachment vote to rally GOP Amash's critics miss the fact that partisanship is the enemy of compromise MORE spokesman Michael Steel said.

Updated at 4:55 p.m.