Senate Minority Leader Charles Schumer Chuck SchumerSenate Democrats introduce legislation to probe politicization of pandemic response Schumer interrupted during live briefing by heckler: 'Stop lying to the people' Jacobin editor: Primarying Schumer would force him to fight Trump's SCOTUS nominee MORE (D-N.Y.) on Tuesday blasted the Trump administration over its handling of nominations, saying its vetting has been a "slap-dash process."

"This Trump administration has done the worst job of vetting their nominees of any administration I can remember. It seems a slap-dash process," Schumer said.

President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE's pick to lead the Department of Veterans Affairs, Rear Adm. Ronny Jackson, is under fire amid new allegations of professional misconduct. The Senate Veterans' Affairs Committee postponed a hearing scheduled for Wednesday.

"How did he get through the process with all of these allegations not even being made public? My guess: not proper vetting," Schumer said.

"More than ever — more than ever with this president — it’s the Senate’s job to advise and consent, not be a rubber stamp," he added.

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Schumer separately declined to say if he believed Jackson should withdraw his nomination, noting he would wait to see if the allegations are substantiated.

"There are so many allegations most of which have not been made public yet but [are] very serious. I'll wait to see if those are corroborated," he told reporters on Tuesday.

Sen. Tom Udall Thomas (Tom) Stewart UdallLWCF modernization: Restoring the promise OVERNIGHT ENERGY: House Democrats tee up vote on climate-focused energy bill next week | EPA reappoints controversial leader to air quality advisory committee | Coronavirus creates delay in Pentagon research for alternative to 'forever chemicals' Senate Democrats demand White House fire controversial head of public lands agency MORE (D-N.M.) also told CNN on Tuesday that Congress should vet Trump's nominees.

“The really unfortunate thing here is the Trump administration never does the vetting, then it’s up to the Congress. We should do the vetting.”

Udall added that if the allegations against Jackson, who is the White House physician to the president, are proven, “he’s got serious problems in terms of taking over this agency.”

Trump on Tuesday gave Jackson cover if he wants to withdraw his nomination, saying repeatedly that the choice to withdraw was Jackson’s. But Trump during a joint news conference with French President Emmanuel Macron also questioned why Jackson would want to go forward and take the "abuse" from politicians.

The kerfuffle over Jackson's nomination comes as Republicans are poised to move forward with a proposal to cut down on debate time for hundreds of Trump's nominees.

The proposal, from Sen. James Lankford James Paul LankfordMcConnell works to lock down GOP votes for coronavirus bill Charities scramble to plug revenue holes during pandemic Warren calls for Postal Service board members to fire DeJoy or resign MORE (R-Okla.), is set to get a vote in the Rules Committee on Wednesday.

– Ben Kamisar contributed to this report, which was updated at 3:13 p.m.