Sen. Rand PaulRandal (Rand) Howard PaulSunday Show Preview: Trump's allies and administration defend decision on Syria Ana Navarro clashes with Rand Paul in fiery exchange: 'Don't mansplain!' Trump's Syria blunder is escapism not strategy 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 BoehnerIs Congress retrievable? Boehner reveals portrait done by George W. Bush Meadows to be replaced by Biggs as Freedom Caucus leader MORE (R-Ohio) in last-minute negotiations with Obama and Senate Majority Leader Harry ReidHarry Mason ReidHarry Reid predicts Trump, unlike Clinton, won't become more popular because of impeachment Al Franken to host SiriusXM radio show Pressure on Pelosi to impeach Trump grows 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 RyanAmash: Trump incorrect in claiming Congress didn't subpoena Obama officials Democrats hit Scalia over LGBTQ rights Three-way clash set to dominate Democratic debate 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 BoehnerIs Congress retrievable? Boehner reveals portrait done by George W. Bush Meadows to be replaced by Biggs as Freedom Caucus leader MORE spokesman Michael Steel said.

Updated at 4:55 p.m.