Senate Republicans made clear on Wednesday there will be no immigration deal unless Democrats agree to restrictions on parole, the border authority used by the administration to admit hundreds of thousands of immigrants.

That was the unequivocal message as Republicans emerged from a meeting convened to update members on the state of talks. The conference has been united in the need for border reforms as crossings reach record highs, but conservatives have warned against accepting any deal the White House could sidestep.

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