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Graham: Stephen Miller makes immigration deal impossible 

GOP Sen. Lindsey GrahamLindsey Olin GrahamGOP governors move to cut unemployment benefits as debate rages over effects Trump critics push new direction for GOP Graham warns about trying to 'drive' Trump from GOP: 'Half the people will leave' MORE (S.C.) warned on Sunday that the White House staff is undercutting President TrumpDonald TrumpProject Veritas surveilled government officials to expose anti-Trump sentiments: report Cheney: Fox News has 'a particular obligation' to refute election fraud claims The Memo: What now for anti-Trump Republicans? MORE and Congress's ability to get a deal on immigration.

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"Every time we have a proposal it is only yanked back by staff members. As long as Stephen Miller is in charge of negotiating immigration, we're going nowhere," Graham told reporters as he headed into a closed-door negotiation with a bipartisan group of senators.

He added that "the White House staff, I think, is making it very difficult."

Miller, a White House aide, is well known for his conservative views on immigration. He was formerly a staffer for then-Sen. Jeff SessionsJefferson (Jeff) Beauregard SessionsOne quick asylum fix: How Garland can help domestic violence survivors Biden fills immigration court with Trump hires Trump admin got phone records of WaPo reporters covering Russia probe: report MORE (R-Ala.), who frequently opposed bipartisan immigration deals.

Miller authored the White House's wide-ranging immigration plan, which includes wall funding and cracking down on cities that don't comply with federal immigration law.

Graham said on Sunday that Miller has "been an outlier for years" on the issue of immigration.

The White House fired back at Graham.

"As long as Senator Graham chooses to support legislation that sides with people in this country illegally and unlawfully instead of our own American citizens, we are going nowhere. He’s been an outlier for years," said White House spokesman Hogan Gidley.

Democrats have repeatedly bristled at Miller's involvement in the immigration talks, arguing he isn't a constructive force in the immigration talks.