Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellHawley warns Schumer to steer clear of Catholic-based criticisms of Barrett Senate GOP set to vote on Trump's Supreme Court pick before election Harris slams Trump's Supreme Court pick as an attempt to 'destroy the Affordable Care Act' MORE (R-Ky.) on Monday signaled that talks about the rules on a Trump impeachment trial are in limbo until senators return to Washington in roughly two weeks.

McConnell, asked about potential witnesses while speaking to reporters in Kentucky, demurred saying they would figure out the status of negotiations once Congress comes back next month.

"I think we'll find out when we come back in session where we are," McConnell told reporters.

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McConnell's comments come after lawmakers left town Thursday without a deal on the rules for the proceeding or an agreement on specific witnesses or Ukraine-related documents being pushed for by Democrats.

McConnell and Senate Minority Leader Charles Schumer Chuck SchumerPelosi: Trump Supreme Court pick 'threatens' Affordable Care Act Will Democrats attempt to pack the Supreme Court again? Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' MORE (D-N.Y.) met for the first time on Thursday to try to reach a deal on the chamber's rules for an impeachment trial.

Schumer is requesting four witnesses as well as Ukraine-related documents, detailed in a "Dear Colleague" letter he sent Monday. He also wants the Senate to pass one resolution at the outset of the trial that would establish the rules and what witnesses will be called.

McConnell has said he personally does not want witnesses to be called by either side, though he's stressed that the GOP caucus as a whole has not made a final decision. He’s calling for two resolutions, one at the outset that would establish procedure and a second after the trial starts that would call for any potential witnesses if 51 senators decide they want specific individuals to testify.

McConnell said after his meeting with Schumer on Thursday that they were at an "impasse." The Senate GOP leader reiterated that during an appearance on Monday on "Fox & Friends," and said the Thursday meeting was the last time he spoke to Schumer.

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Senators expect the trial to start in January, though the exact date is in limbo until after the House transmits the two articles. House Speaker Nancy Pelosi Nancy PelosiPelosi: Trump Supreme Court pick 'threatens' Affordable Care Act Sunday shows preview: Lawmakers prepare for SCOTUS confirmation hearings before election Will Democrats attempt to pack the Supreme Court again? MORE (D-Calif.) has not said when they will be sent over, stressing that they want to see what agreement McConnell and Schumer can come up with.

"We can't do anything until the speaker sends the papers over," McConnell added on Monday. "So everybody enjoy the holidays."

The Senate is scheduled to return to Washington on Friday, Jan. 3, with the first roll call votes scheduled for Monday, Jan. 6. The House isn't expected to come back in session until Tuesday, Jan. 7.