Eliminating the controversial Senate rule would greatly help push the Biden administration's agenda forward.
The Senate minority leader made the comments while arguing the case for keeping the legislative filibuster.
"It is extraordinarily unlikely the president will be convicted," Republican Maine Senator Susan Collins told reporters on Tuesday.
It's unclear what ails the 80-year-old senator, but he was set to oversee Trump's second impeachment trial in place of Supreme Court Justice John Roberts.
The Democratic senator suggested McConnell's actions were only a "first test" for Democrats in the upper chamber.
Two Democratic senators affirmed their support for protecting the 60-vote legislative filibuster, reassuring Republicans that there won't be enough votes to kill the procedural tool.
Some Democrats worry that Republicans will use the filibuster to stop President Joe Biden's progressive legislative goals.
"I think it's pretty clear that over the last year or so there has been an effort to corrupt the election of the United States," the Republican senator said.
While 38 states have approved of adding the amendment to the Constitution which would enshrine equal legal protections for women, some legal and procedural questions surround the state approval process.
Majority Whip Dick Durbin said Biden's COVID relief package is "really important" in part because of the money that's allocated for vaccinations.
Speaking from the Senate floor, the minority leader said the new president should "remember that he does not owe his election to the far left."
Both political parties have made changes to the filibuster in the past, but now some Democrats want it gone completely.
Vice President Kamala Harris swore in three new Democratic Senators on Wednesday, giving her party slight control over the congressional upper chamber.
The South Carolina senator thinks the GOP is destined for "disaster" without Trump
Sen. Lindsey Graham (R-S.C.) spoke against Senate Minority Leader Mitch McConnell (R-Ky.) "giving some legitimacy to this impeachment process that I think is wrong" on Wednesday.
"I just watched Obama and Mitch McConnell fist bump and I don't know how to feel about it," one viewer tweeted.
The outgoing Senate majority leader pointed out that Kamala Harris is the "very first female Vice President of the United States."
Senate Majority Leader Mitch McConnell and House Minority Leader Kevin McCarthy will reportedly join Vice President Mike Pence in snubbing President Donald Trump by not attending his farewell event on Wednesday morning hours before President-elect Joe Biden is inaugurated.
"Certainly November's elections did not hand any side a mandate for sweeping ideological change," McConnell said from the Senate floor on Tuesday.
Kentucky senator Paul said said the Republican leadership "will destroy the party" if it backs Trump's impeachment.
"They're at home. They could have a trial on Friday," the Democratic congressman said, referring to the Senate.
Amid an increasingly fractured relationship with the president, the Senate majority leader could pave the way for Trump's impeachment conviction.
The Senate majority leader reportedly declined his colleagues' calls to convene promptly for an impeachment trial.
The article of impeachment accuses Trump of "incitement of insurrection" for the riots at the Capitol building on January 6, and according to a recent report from The New York Times, Senate Majority Leader Mitch McConnell may be leaning toward voting in favor of impeachment.
The Democrat from New Jersey said in a Facebook live that congressional colleagues "abetted" the president's attempt to overturn the results of the election.
The president's adversaries continue to push his impeachment as part of a sustained backlash against him following the events of January 6.
Democratic Congressman Adam Schiff called for a quick impeachment of the president, following the riot at the Capitol on Wednesday.
The Senate wouldn't even begin its impeachment proceedings until Biden was officially made president, making Trump's removal from office via that route impossible.
Earlier, the Senate majority leader delivered remarks opposing his GOP colleagues' electoral vote challenge.