WASHINGTON -- While Sen. Ted Cruz (R-Texas) was bemoaning the "defeatist attitude" of his fellow Republican senators, his close ally Sen. Rand Paul (R-Ky.) acknowledged Obamacare won't be defunded in a bill to keep the federal government open.

The Kentucky Republican stood with Cruz in his all-night speech against Obamacare, but later on Wednesday Paul added his name to those who say the writing is on the wall.

"I'm not saying we would get everything we want. We don't want to fund [Obamacare] at all, but I'm ready to admit we may not get that," Paul told reporters shortly after he voted to begin debate on the government funding bill passed by House Republicans last week.

That bill would keep the federal government open beyond Sept. 30, but permanently strips the Affordable Care Act of its funding, as Cruz and his allies have demanded. Senate Majority Leader Harry Reid (D-Nev.) is expected to amend the measure to restore funding for the Affordable Care Act in the course of a subsequent procedural vote that requires a simple majority.

Republicans, with 46 votes, could stop the bill during the procedural motion; but many of them oppose shutting down the federal government, especially since it wouldn't lead to the end of Obamacare, and the GOP is likely to bear the brunt of the blame.

To Cruz, who spoke Wednesday on Rush Limbaugh's radio show, that stance shows that Republicans are "beaten down."

"The single biggest surprise about arriving to the Senate is the defeatist attitude here," Cruz said.

While Paul joined Cruz in his 21-hour talkathon -- which outlasted Paul's 13-hour talking filibuster earlier this year -- the senator from the Bluegrass State conceded Wednesday afternoon that the Senate should no longer delay sending a revised continuing resolution to the House GOP leaders, who will only have one day to pass the measure in order to avert a government shutdown.

"We've spent a lot of time on this, and it's time to vote," Paul said. "I think the sooner we're done with this, the better chance we have of not having the government shut down."

"I think it's presumptuous of me to tell the House what to do, but I think the goal of everybody should be to try to do something right and at the same time not shut down the government," Paul added.

The Kentucky senator argued that Reid and President Barack Obama are pushing the country to the brink of a shutdown by refusing to compromise on the health care law, and called for a "a discussion over how we could make the bill less bad."

"I think if you analyze this situation, this is us saying the bill has many problems. Even one of the authors of the bill says there's problems with the bill," Paul said. "But if they're unwilling to revisit the bill and compromise on anything ... maybe some of you in the media ought to ask ... why are they shutting down the government in order to get everything they want?"

Paul was among nearly a dozen Republican signatories on a letter distributed by Sen. Mike Lee (R-Utah) in July that called on the conference to oppose any continuing resolution that included funding for Obamacare. In recent weeks, Cruz and Lee have insisted that any vote to advance the House-passed bill is a vote for Obamacare, because it would enable Reid to keep the health care law funded.

Paul was hesitant to share that opinion.

"I don't really want to characterize what I think the vote means," he said. "I think that the Republican caucus has been united in its opposition to Obamacare."

"All I know is at this time, my conclusion is -- and apparently a lot of people's conclusion is -- we ought to get to the votes," Paul added later, as reporters continued to press him on Cruz's strategy. "If we're going to send something to the House, I think get something over there sooner rather than later. That's always been my opinion."

He commended Cruz's speech, noting opposition to Obamacare has been a motivating issue for tea party and grassroots activists in the Republican Party.

"I don't think you're finding many people out in the countryside or across the country saying, 'Oh, it's a bad idea to stand up to Obamacare,'" Paul said. "What makes it difficult is people really probably don't want to shut down the government, and I don't either ... so it is a difficult situation."

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  • 1912

    Former President Theodore Roosevelt champions national health insurance as he unsuccessfully tries to ride his progressive Bull Moose Party back to the White House. (Photo by Topical Press Agency/Getty Images)

  • 1935

    President Franklin D. Roosevelt favors creating national health insurance amid the Great Depression but decides to push for Social Security first. (Photo by Keystone/Getty Images)

  • 1942

    Roosevelt establishes wage and price controls during World War II. Businesses can't attract workers with higher pay so they compete through added benefits, including health insurance, which grows into a workplace perk. (Photo by Hulton Archive/Getty Images)

  • 1945

    President Harry Truman calls on Congress to create a national insurance program for those who pay voluntary fees. The American Medical Association denounces the idea as "socialized medicine" and it goes nowhere. (Photo by Keystone/Getty Images)

  • 1960

    John F. Kennedy makes health care a major campaign issue but as president can't get a plan for the elderly through Congress. (Photo by Keystone/Getty Images)

  • 1965

    President Lyndon B. Johnson's legendary arm-twisting and a Congress dominated by his fellow Democrats lead to creation of two landmark government health programs: Medicare for the elderly and Medicaid for the poor. (AFP/AFP/Getty Images)

  • 1974

    President Richard Nixon wants to require employers to cover their workers and create federal subsidies to help everyone else buy private insurance. The Watergate scandal intervenes. (Photo by Keystone/Getty Images)

  • 1976

    President Jimmy Carter pushes a mandatory national health plan, but economic recession helps push it aside. (Photo by Central Press/Getty Images)

  • 1986

    President Ronald Reagan signs COBRA, a requirement that employers let former workers stay on the company health plan for 18 months after leaving a job, with workers bearing the cost. (MIKE SARGENT/AFP/Getty Images)

  • 1988

    Congress expands Medicare by adding a prescription drug benefit and catastrophic care coverage. It doesn't last long. Barraged by protests from older Americans upset about paying a tax to finance the additional coverage, Congress repeals the law the next year. (TIM SLOAN/AFP/Getty Images)

  • 1993

    President Bill Clinton puts first lady Hillary Rodham Clinton in charge of developing what becomes a 1,300-page plan for universal coverage. It requires businesses to cover their workers and mandates that everyone have health insurance. The plan meets Republican opposition, divides Democrats and comes under a firestorm of lobbying from businesses and the health care industry. It dies in the Senate. (PAUL J. RICHARDS/AFP/Getty Images)

  • 1997

    Clinton signs bipartisan legislation creating a state-federal program to provide coverage for millions of children in families of modest means whose incomes are too high to qualify for Medicaid. (JAMAL A. WILSON/AFP/Getty Images)

  • 2003

    President George W. Bush persuades Congress to add prescription drug coverage to Medicare in a major expansion of the program for older people. (STEPHEN JAFFE/AFP/Getty Images)

  • 2008

    Hillary Rodham Clinton promotes a sweeping health care plan in her bid for the Democratic presidential nomination. She loses to Obama, who has a less comprehensive plan. (PAUL RICHARDS/AFP/Getty Images)

  • 2009

    President Barack Obama and the Democratic-controlled Congress spend an intense year ironing out legislation to require most companies to cover their workers; mandate that everyone have coverage or pay a fine; require insurance companies to accept all comers, regardless of any pre-existing conditions; and assist people who can't afford insurance. (Alex Wong/Getty Images)

  • 2010

    With no Republican support, Congress passes the measure, designed to extend health care coverage to more than 30 million uninsured people. Republican opponents scorned the law as "Obamacare." (Mark Wilson/Getty Images)

  • 2012

    On a campaign tour in the Midwest, Obama himself embraces the term "Obamacare" and says the law shows "I do care." (BRENDAN SMIALOWSKI/AFP/Getty Images)