McConnell has urged the Senate to pass two resolutions. One at the outset would deal only with the rules for the impeachment trial, including things like how long both sides would get to present their opening arguments. Under McConnell's plan a second resolution, passed after both sides present their case, would tackle what witnesses are called to testify.

Murkowski said on Monday that she supports having the initial resolution being focused solely on the rules.

"I think what we need to do is get to the first step," Murkowski added.

Murkowski's decision is a blow to Democrats, who want to pass one resolution at the outset that would deal with both rules and what specific witnesses would be called.

Schumer would need to be able to win over four Republican senators to try to amend an initial rules resolution to get specific witnesses included. But no Republican senator has endorsed working out a deal on witnesses at the outset.

Murkowski did not indicate on Monday if she would support hearing from Bolton, who offered earlier Monday to testify in the trial if he is subpoenaed.

"I think first we have to get to basically the first phase, which is having articles to deal with," she said, asked if she had early interest in hearing from Bolton.

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McConnell has argued that the dual-phase resolutions would let the Senate follow the precedent set by the Clinton impeachment trial. Republicans are expected to discuss their impeachment strategy at a closed-door caucus lunch on Tuesday.



If McConnell can hold together his 53-member caucus he could pass the impeachment trial rules that he wants over the objections of Democrats.



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But Democrats believe if McConnell is able to start a trial without a deal on witnesses it will make it less likely that they'll agree to call individuals down the line.



"Leader McConnell’s view of the trial is ‘Alice in Wonderland.’ First the trial, then the evidence. If the Senate were to agree to Leader McConnell’s proposal, the Senate will act as little more than a nationally televised meeting of a mock trial club," Schumer said from the Senate floor.



McConnell has said he personally does not believe either side should call witnesses. Schumer pointed to that during his speech, calling his proposal to make a formal decision later "a poorly disguised trap. He has already actually made clear what his goals are." Murkowski's support for the process advocated by McConnell comes as the GOP leader and Schumer are deep into a weeks-long stalemate over the negotiations for a Senate trial. That fight is set to come to a head within days with Speaker(D-Calif.) expected to send the articles over as soon as this week.McConnell has argued that the dual-phase resolutions would let the Senate follow the precedent set by the Clinton impeachment trial. Republicans are expected to discuss their impeachment strategy at a closed-door caucus lunch on Tuesday.If McConnell can hold together his 53-member caucus he could pass the impeachment trial rules that he wants over the objections of Democrats."House Democrats' hunger to break on Senate precedents just like they broke their own precedents could not be more telling. But the Senate does not just bob along on the currents of every news cycle," McConnell said from the Senate floor on Monday.But Democrats believe if McConnell is able to start a trial without a deal on witnesses it will make it less likely that they'll agree to call individuals down the line."Leader McConnell’s view of the trial is ‘Alice in Wonderland.’ First the trial, then the evidence. If the Senate were to agree to Leader McConnell’s proposal, the Senate will act as little more than a nationally televised meeting of a mock trial club," Schumer said from the Senate floor.McConnell has said he personally does not believe either side should call witnesses. Schumer pointed to that during his speech, calling his proposal to make a formal decision later "a poorly disguised trap. He has already actually made clear what his goals are."

—Updated at 7:22 p.m.