Sen. Lindsey Graham Lindsey Olin GrahamThe Hill's Campaign Report: Arizona shifts towards Biden | Biden prepares for drive-in town hall | New Biden ad targets Latino voters Senate Democrats' campaign arm announces seven-figure investment to boost Graham challenger Graham: Comey to testify about FBI's Russia probe, Mueller declined invitation MORE (R-S.C.) on Thursday warned President Trump Donald John TrumpHR McMaster says president's policy to withdraw troops from Afghanistan is 'unwise' Cast of 'Parks and Rec' reunite for virtual town hall to address Wisconsin voters Biden says Trump should step down over coronavirus response MORE against putting House Republican lawmakers on his legal team for the Senate's impeachment trial.

"I don't think it's wise. I think we need to elevate the argument beyond body politics, beyond party politics and talk about the constitutional problems with these two articles," Graham told reporters.

Graham's comments come amid reports that Trump is considering adding GOP allies, including Reps. John Ratcliffe John Lee RatcliffeOvernight Defense: Top admiral says 'no condition' where US should conduct nuclear test 'at this time' | Intelligence chief says Congress will get some in-person election security briefings FBI chief says Russia is trying to interfere in election to undermine Biden The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Trump contradicts CDC director on vaccine, masks MORE (R-Texas) or Jim Jordan James (Jim) Daniel JordanHouse passes resolution condemning anti-Asian discrimination relating to coronavirus Republicans call for Judiciary hearing into unrest in cities run by Democrats Trump, GOP seek to rebut Democratic narrative on night one MORE (R-Ohio), to his legal team for the Senate trial.

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Senators are waiting for House Speaker Nancy Pelosi Nancy PelosiMcConnell focuses on confirming judicial nominees with COVID-19 talks stalled Overnight Defense: Top admiral says 'no condition' where US should conduct nuclear test 'at this time' | Intelligence chief says Congress will get some in-person election security briefings Pelosi must go — the House is in dire need of new leadership MORE (D-Calif.) to send the two articles of impeachment to the Senate. Lawmakers believe she could do so as soon as this week, though she has not publicly tipped her hand about her thinking on a timeline.

Talk about adding Republican lawmakers to Trump's impeachment team comes as Senate Republicans have largely stuck with coordinating with White House counsel Pat Cipollone, who is expected to lead the president's legal team during a Senate trial.

Cipollone has met with both the Senate Republican Conference and Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellMcConnell focuses on confirming judicial nominees with COVID-19 talks stalled McConnell accuses Democrats of sowing division by 'downplaying progress' on election security Warren, Schumer introduce plan for next president to cancel ,000 in student debt MORE (R-Ky.).

McConnell pledged last month after a meeting with Cipollone that they would be "total coordination" with the White House lawyer.

"Everything I do during this I'm coordinating with the White House counsel. There will be no difference between the president's position and our position as to how to handle this," McConnell told Fox News at the time.