Impeachment managers argued that not taking action against former President Donald Trump jeopardizes the country's standing in the eyes of the global community.
The Senate majority leader says he has the votes to press ahead and won't seek a deal with Minority Leader Chuck Schumer, who demanded witness testimony and rules for evidence.
The Senate's Republican and Democratic leaders disagree about including witnesses in an impeachment trial of President Trump. But each has flipped his stance since Bill Clinton's 1999 acquittal.
Sen. Lindsey Graham told reporters that he wanted to make it clear that a trial couldn't be dismissed before it started. The president has also been making an effort to meet with GOP senators.