The Senate on Thursday rejected a proposal from Sen. Rand Paul, R-Ky., to impose spending cuts to offset billions of dollars in new spending to help Texas and Louisiana recovery from Hurricane Harvey.

Paul said rushing to pass a bill creating billions of dollars in additional U.S. debt was unwise, and said senators should work to offset the funding. Paul said failing to offset the spending makes lawmakers "like dinosaurs: big hearts and small brains."

"My amendment will give the Senate a chance to fund necessary relief in a fiscally responsible manner," Paul said on the floor. "I urge my fellow senators to support it."

But Paul lost his argument when Senate Majority Leader Mitch McConnell, R-Ky., made a motion to table Paul's proposal. McConnell's motion won the support of senators from both parties, and passed 87-10. The 10 votes against tabling Paul's proposal all came from GOP budget hawks.

After that vote, the Senate then rejected a proposal from Sen. Ben Sasse, R-Neb., to only take up the House-passed bill. That bill provided $7.85 billion in relief funding, and the Senate is looking to nearly double that funding in the bill it will likely pass this week. Sasse's vote was tabled by a 72-25 vote.