Sen. Jeff SessionsJefferson (Jeff) Beauregard SessionsHarris to resign from Senate seat on Monday Rosenstein: Zero tolerance immigration policy 'never should have been proposed or implemented' Sessions, top DOJ officials knew 'zero tolerance' would separate families, watchdog finds MORE (R-Ala.) is pushing back against House Republicans' emerging plan to respond to President Obama's immigration actions. 

“The Chairman of the Republican Party made a promise to America on executive amnesty: ‘We can’t allow it to happen and we won’t let it happen … everything we can do to stop it we will,' " Session said in a statement. "Unfortunately, the plan now being circulated in the House fails to meet that test."

The House is working on a plan for long-term funding for most of the government, with shorter-term funding for the Department of Homeland Security, which deals with immigration. There will also be a vote on a largely symbolic measure expressing opposition to Obama's move. 

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"The executive amnesty language is substantially weaker than the language the House adopted this summer, and does not reject the central tenets of the President’s plan: work permits, Social Security, and Medicare to 5 million illegal immigrants — reducing wages, jobs, and benefits for Americans," Sessions said. 

Sessions, a leading opponent of the immigration reform bill that passed the Senate last year, is calling for Congress to defund Obama's immigration actions. 

"Congress must respond to the President’s unlawful action by funding the government but not funding illegal amnesty," he said. 

The Republican-led House Appropriations Committee has called this tactic "impossible," because the relevant agency is self-funded by fees, but Sessions points to a Congressional Research Service report that he says indicates otherwise.