WASHINGTON -- A bipartisan group of influential immigration reform supporters warned other advocates on Thursday that pushing President Barack Obama to halt deportations could kill the broader effort.

"We believe that's not the right thing to do," Henry Cisneros, former secretary of the Department of Housing and Urban Development under President Bill Clinton, told reporters on a press call.

"It won't accomplish the objective that we want of comprehensive reform and may create a political environment where it's impossible in any reasonable time frame to get comprehensive immigration reform, because the waters will be so poisoned politically," he continued.

Cisneros spoke as part of the Bipartisan Policy Center's immigration task force, which is also led by Condoleezza Rice, former secretary of state to President George W. Bush; Haley Barbour, former Mississippi governor (R); and Ed Rendell, former governor of Pennsylvania (D).

The group supports a path to citizenship for undocumented immigrants, which so far is being blocked in the Republican-controlled House. But it differs with some pro-reform groups on what to do with undocumented people until a bill is passed.

The Obama administration, with funding appropriated by Congress, has deported record numbers of immigrants and hit a high of nearly 410,000 people removed in the 2012 fiscal year. Now that immigration reform looks possible -- if not necessarily likely -- some advocates argue that it is wrong to deport people who would likely be allowed to stay if legislation is passed. If people are being deported at the same rate they were last year, that would mean an average of more than 1,100 immigrants are being removed from the country each day.

Some undocumented young people have been spared removal under the Deferred Action for Childhood Arrivals program, which allows them to remain in the country and work -- although they are still able to be deported in some circumstances -- for two years. Advocates say that Obama could broaden the policy to others. Republicans, on the other hand, say Obama would be abusing his authority.

The president said last month that he would not expand the Deferred Action for Childhood Arrivals program to adults, despite calls from activists.

"If we start broadening that, then essentially, I would be ignoring the law in a way that I think would be very difficult to defend legally," Obama told Telemundo's José Diaz-Balart in an interview, according to a transcript provided by the network. "So that's not an option."

The Bipartisan Policy Center immigration task force wrote in a statement that there are issues with expanding deferred action "beyond just legal concerns," such as that the expansion would be temporary in nature and mask the need for a permanent fix.

The task force went on to say an administrative action to halt deportations would get ahead of the legislative effort in Congress. Those efforts are stalled for now, despite bipartisan support for the "gang of eight" immigration bill that passed the Senate in June. But the task force went on to write that advocates of reform shouldn't give up hope.

"With immigration reform in sight, our nation’s leaders must put aside partisan, political considerations and work diligently to narrow their differences," the statement reads. "There are plenty of good ideas on the table from members of both parties. Now is not the time to give up on the legislative process, but rather to engage it with renewed vigor and determination."

UPDATE: Friday, Oct. 11 -- Rebecca Tallent, director of immigration policy at the Bipartisan Policy Center, emailed to clarify the organization's stance on deportations.

"The recent statement by BPC’s Immigration Task Force statement does not, in any way, advocate for or against the current administration’s deportation policies," she said. "Rather, the task force advocates for a full legislative process and against abandoning that process in favor of a short term, temporary fix. The task force believes that expansion of the DACA program addresses only one aspect of immigration reform and will undermine the overall legislative effort."

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  • Reform Would Help Curb The Deficit

    Immigration reform would <a href="http://articles.washingtonpost.com/2013-04-08/business/38371503_1_previous-immigration-bills-immigration-reform-immigration-laws" target="_blank">reduce the federal deficit by $2.5 trillion</a> over the next 10 years, according to an April analysis by the American Action Forum, a conservative think tank.

  • Expelling Immigrants Is Expensive

    Expelling the approximately 11 million undocumented immigrants currently in the United States would cost $2.6 trillion over the next 10 years, <a href="http://www.cnbc.com/id/100449802" target="_blank">according to CNBC</a>. That's because it costs the government more than $8,000 to deport each person.

  • Reform Would Help Fix The Social Security Problem

    Immigration reform would help bolster Social Security because more legal workers would mean more people contributing payroll taxes to its trust fund, <a href="http://www.huffingtonpost.com/huff-wires/20130508/us-immigration/?utm_hp_ref=arts&ir=arts" target="_blank">according to an analysis from the Social Security administration</a>. Undocumented workers <a href="http://www.huffingtonpost.com/2013/04/18/immigration-reform-social-security_n_3103500.html" target="_blank">already contribute $15 billion per year</a> to Social Security.

  • Immigrants Start Successful Businesses

    More than <a href="http://www.washingtonpost.com/blogs/wonkblog/wp/2013/01/31/worried-about-the-economy-then-pass-immigration-reform/" target="_blank">a quarter of technology and engineering firms</a> started between 1995 and 2005 had a foreign-born owner, according to the Washington Post. One <a href="http://www.huffingtonpost.com/2013/04/22/american-companies-founded-by-immigrants_n_3116172.html#slide=2357880" target="_blank">of the founders of Yahoo!</a>, Jerry Yang, is an immigrant from Taiwan.

  • Reform Would Save $410 Billion Over The Next 10 Years

    The immigration reform bill proposed by the "gang of eight" senators would save <a href="http://www.huffingtonpost.com/2013/05/15/immigration-reform-save-billions_n_3280145.html?utm_hp_ref=business" target="_blank"> $410 billion over the next decade</a>, according to an analysis from Gordon Gray, the director of fiscal policy at the American Action Forum, a conservative think tank. The savings would come largely from a boost in GDP resulting from undocumented immigrants gaining citizenship and in turn likely making more money.

  • High-Tech Companies Say Reform Would Boost Their Bottom Line

    Companies like Microsoft and Google have said that immigration reform would help them by <a href="http://www.bizjournals.com/sanjose/news/2013/01/29/facebook-microsoft-back-senate.html" target="_blank">allowing for more H1B visas</a>, a special kind of visa geared toward highly-skilled immigrants. The tech giants say they can't find enough qualified people in the U.S. to fill their staffing needs.

  • Reform Would Boost The Wages Of Native-Born Workers

    U.S.-born workers see between a 0.1 and 0.6 percent boost in wages on average with an increase in immigration, <a href="http://www.huffingtonpost.com/2013/01/30/immigration-reform-workers_n_2583576.html" target="_blank">according to a January report from the Hamilton Project</a>, an economic policy initiative of the nonpartisan Brookings Institution. That's because immigrant workers bring skills with them that complement those of native-born workers, leading to new jobs.

  • Immigrants Are Entrepreneurial

    Immigrants are <a href="http://www.whitehouse.gov/blog/2013/03/13/economic-case-commonsense-immigration-reform" target="_blank">more than twice as likely</a> than native-born Americans to start new businesses, according to a White House report on immigration reform.

  • Reform Would Boost GDP By More Than $1 Trillion Over 10 Years

    Immigration reform <a href="http://www.cnbc.com/id/100449802" target="_blank">would boost GDP by $1.5 trillion</a> -- or about 1 percent -- over 10 years, according to an estimate from UCLA professor Raul Hinojosa-Ojeda cited by CNBC.

  • Immigrants Create Jobs

    Businesses owned by immigrants <a href="http://www.whitehouse.gov/blog/2013/03/13/economic-case-commonsense-immigration-reform" target="_blank">created 4.7 million jobs</a> in the U.S. in 2007, according to a White House report on immigration reform.

  • Reform Would Bring In More Money Than It Costs In Benefits

    Though many critics of immigration reform argue against the cost of providing increased public benefits, analysts say higher spending is not a likely consequence. A Congressional Budget Analysis of George W. Bush's 2007 immigration reform proposal found that it would cost the government $23 billion in more public services, but bring in $48 billion in revenue, <a href="http://www.washingtonpost.com/blogs/wonkblog/wp/2013/01/31/worried-about-the-economy-then-pass-immigration-reform/" target="_blank">according to the Washington Post</a>.