Senate Budget Committee Ranking Member Jeff SessionsJeff SessionsSessions says he doesn't regret recusing himself from Russia probe NY Post cover depicts Trump White House as reality TV show 'Survivor' Trump to announce MS-13 gang crackdown in Long Island MORE (R-Ala.) on Monday introduced legislation that, if approved, would make it harder for the Senate to consider any bill to raise the debt ceiling until it has been made publicly available for seven days.

While his bill is unlikely to be approved, it does signal that Senate Republicans want to ensure that a final agreement is not sprung on members at the last minute. Senate Republicans have complained in recent weeks that they do not have a good sense of how the talks are going, and are worried that they might not be able to support an agreement that raises taxes.

Sessions said earlier this month that he fears President Obama will seek a last-minute deal and then try to win quick approval by Congress.

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Obama "continues to rely on secret meetings, and it's clear that the White House expects to thrust a last-minute deal on Congress under the threat of panic," Sessions said July 1. "They assume lawmakers will support such a deal with no time to review it, no time to amend or revise it, no time for the public to weigh in, and no time for national opinion to form as meaningful discussion and analysis unfold."

"We shouldn't 'have to pass the bill so that you can find out what is in it,' " he added, referencing a comment House Minority Leader Nancy Pelosi (D-Calf.) made about last year's controversial healthcare bill.

Sessions's request for a seven-day layover may prove unrealistic, as there are now just three weeks left before the Aug. 2 deadline set by the Treasury Department for reaching an agreement on the debt ceiling. After that date, Treasury has warned that the U.S. is at risk of default on its debt and/or being forced to significantly cut back spending.

His bill, S. 1341, would allow for a point of order to be raised against consideration of any bill to increase the debt ceiling "unless that measure has been publicly available for a full seven calendar days before consideration on the floor of the Senate."

Aside from Sessions, the bill is co-sponsored by Sens. Kelly AyotteKelly AyotteOPINION: Democracy will send ISIS to the same grave as communism Kelly Ayotte joins defense contractor's board of directors Week ahead: Comey firing dominates Washington MORE (R-N.H.), Jim DeMint (R-SC), Ron JohnsonRon JohnsonRyan assures GOP senators House will go to conference Overnight Healthcare: Four GOP senators threaten to block 'skinny' repeal | Healthcare groups blast skinny repeal | GOP single-payer amendment fails in Senate Four GOP senators threaten to block ‘skinny’ repeal MORE (R-Wis.), Mike LeeMike LeeOvernight Cybersecurity: Senate sends Russia sanctions bill to Trump | Senators unveil email privacy bill | Russia tried to spy on Macron with Facebook Overnight Tech: Driverless car bill advances in House | Bezos now world's richest person | Tech groups hail new email privacy bill How do you get lower cost drugs? Give the FDA a bigger stick MORE (R-Utah), Rand PaulRand PaulOvernight Defense: Military won't lift transgender ban until Trump sends directions | House passes national security spending | Russian sanctions bill heads to Trump Overnight Cybersecurity: Senate sends Russia sanctions bill to Trump | Senators unveil email privacy bill | Russia tried to spy on Macron with Facebook Senate sends Russia sanctions bill to Trump's desk MORE (R-Ky.), Pat Toomey (R-Pa.), and David VitterDavid VitterOvernight Energy: Trump set to propose sharp cuts to EPA, energy spending Former La. official tapped as lead offshore drilling regulator Former senator who crafted chemicals law to lobby for chemicals industry MORE (R-La.).

-- This story was updated at 7:52 p.m. to add co-sponsors.