Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellMomentum growing among Republicans for Supreme Court vote before Election Day Trump expects to nominate woman to replace Ginsburg next week Video of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral MORE (R-Ky.) said Thursday that lawmakers "look forward" to receiving an immigration proposal from President Trump.

"We look forward to receiving the Trump administration’s legislative proposal as we continue our work on these issues," McConnell said in a statement.

McConnell also appeared to set his own goalposts for a potential deal, noting Congress is debating how to tackle undocumented immigration through border security and interior enforcement. "DACA should be a part of those discussions," he said.

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McConnell's comments come after he and Trump spoke on the phone earlier Thursday to discuss both border security and the Deferred Action for Childhood Arrivals (DACA) program, which Trump rescinded last week.

Democratic leaders say they have got an agreement for the "framework" of a deal that would pair a legislative fix for undocumented immigrants brought into the country as children with tougher border security.

But the broad outline of a potential deal has infuriated Trump's conservative supporters.

The outline of an agreement came after Trump had dinner on Wednesday night with Senate Minority Leader Chares Schumer (D-N.Y.) and House Minority Leader Nancy Pelosi (D-Calif.)

Trump added on Thursday morning that they were "very close" to a deal.

"We're working on a plan — subject to getting massive border controls,” he said.