Senate Minority Leader Charles Schumer Chuck SchumerPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' 3 reasons why Biden is misreading the politics of court packing Cruz blocks amended resolution honoring Ginsburg over language about her dying wish MORE (D-N.Y.) on Wednesday said the Senate Judiciary Committee should delay its confirmation hearing for Supreme Court nominee Brett Kavanaugh in the wake of former President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE lawyer Michael Cohen's guilty plea.

"It's a game changer. It should be. ... In my view, the Senate Judiciary Committee should immediately pause the consideration of the Kavanaugh nomination," Schumer said from the Senate floor.

He added that he thought Sen. Chuck Grassley Charles (Chuck) Ernest GrassleyGOP lawmakers distance themselves from Trump comments on transfer of power The Hill's 12:30 Report: Ginsburg lies in repose Top GOP senators say Hunter Biden's work 'cast a shadow' over Obama Ukraine policy MORE (R-Iowa), the chairman of the Judiciary Committee, had scheduled Kavanaugh's hearing "too soon" and he believed it should be delayed.

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Kavanaugh's hearing is scheduled to begin Sept. 4. Republicans have given no indication they are open to delaying the hearing.

But Democrats are demanding that it be delayed after Cohen pleaded guilty to charges of bank fraud, tax fraud and campaign finance law violations.

Lanny Davis, Cohen's lawyer and an opinion contributor for The Hill, has said that Cohen's decision implicates the president in wrongdoing.

"Very clearly, there is no dispute that Donald Trump committed a crime," he told MSNBC's "Morning Joe". "No dispute, because his own lawyers said to the special counsel in a letter that he directed, that's the word they used, Michael Cohen to make these payments."

Democrats have raised concerns that Kavanaugh has a broad view on executive authority and would try to protect Trump from special counsel Robert Mueller Robert (Bob) MuellerCNN's Toobin warns McCabe is in 'perilous condition' with emboldened Trump CNN anchor rips Trump over Stone while evoking Clinton-Lynch tarmac meeting The Hill's 12:30 Report: New Hampshire fallout MORE's investigation.

Schumer told reporters on Tuesday that Kavanaugh would not say in their meeting if he believed a president could be subpoenaed.

He added on Wednesday that his answer combined with Cohen's plea makes Kavanaugh's nomination a "danger."

"At the very least, the very least, it is unseemly for the president of the United States to be picking a Supreme Court justice who could soon be effectively a juror in a case involving the president himself," Schumer said.

Several Democrats on the Judiciary Committee, which Schumer is not a member of, have also called for Kavanaugh's hearings to be delayed.