Senate Majority Leader Chuck Schumer, in a remarkably candid moment, told reporters that during a closed-door lunch with his caucus Tuesday, he made a strong pitch for them to set aside differences over specific policies like the minimum wage hike and just vote for the president's COVID-19 relief bill.

Sen. Dick Durbin, D-Ill., then went a bit further after Schumer left the room and said the majority leader had "begged" his members to drop their opposition, emphasizing that the relief bill is Biden's signature legislation, and they need to stick together.

"He's begging all of us -- despite disagreements people may have -- this is the Administration's signature bill...And we need to stick together," Durbin recounted.

Some moderate Democrats like Sens. Joe Manchin, D-W.V., and Kyrsten Sinema, D-Ariz., have expressed concern about a $15 per hour minimum wage hike included in $1.9 trillion relief proposal. Manchin said an $11 an hour increase would be more appropriate for his state.

Republicans have hammered Democrats for forcing the increase on businesses suffering under the economic strains of the pandemic, but supporters of the wage increase -- a doubling of the current federal minimum wage -- note that the Biden plan is implemented over a five-year period.

GOP Sens. Tom Cotton of Arkansas and Utah's Mitt Romney introduced a plan Tuesday that would increase the minimum wage to $10 per hour by 2025 with a mandatory requirement that businesses implement E-Verify to ensure undocumented workers do not receive the increase.

The GOP proposal is not expected to be adopted as Democrats speed toward passage of the overall Biden plan.

-ABC News' Trish Turner

The Senate has confirmed Tom Vilsack to serve as secretary of agriculture, in a 92-7 vote.

Sen. Bernie Sanders voted with six Republicans against Vilsack, who had the same role under former President Barack Obama.

-ABC News' Benjamin Siegel

A spokesperson for Republican Leader Mitch McConnell confirmed reports to ABC News that McConnell intends to support the nomination of Merrick Garland to serve as attorney general.

McConnell's support for Garland was first reported by Politico.

The Senate Judiciary Committee on Tuesday wrapped up two days of hearings on Garland's nomination. The committee is scheduled to hold a vote on the nomination on March 1.

McConnell's support for Garland is in stark contrast to his 2016 efforts that successfully kept Garland from the Supreme Court bench.

-ABC News' Allison Pecorin

Senate Minority Leader Mitch McConnell doubled down on his position that the COVID-19 proposal from Democrats is far too large, not targeted enough and flies in the face of bipartisanship during a press conference Tuesday.

"We think this is dramatically more money than is required at this particular juncture. It also includes a number of things that have absolutely nothing to do with COVID relief," McConnel said. "And so it will be controversial."

McConnell said his conference is united Tuesday in "opposition to what the Biden administration is trying to do," arguing that Biden, who campaigned as a moderate, has been pushing far-left policies since his administration began, calling Biden's "a totally partisan approach to COVID relief."

-ABC News' Allison Pecorin

Three of Biden's picks for key administration positions have hearings before Senate committees Tuesday.

The Senate Energy and Natural Resources Committee will hold a hearing to consider Debra Haaland for secretary of the Interior. If the Senate confirms her as secretary of the interior, Haaland would be the first Native American to serve in a presidential Cabinet and would be the first Native person to oversee an agency that's played a major role historically in the forced relocation and oppression of Indigenous people.

The Senate Health, Education, Labor and Pension Committee will consider Xavier Becerra to serve as secretary of health and human services.

Republican opposition to Becerra has been mounting since Biden announced his nomination in December. On Monday, a group of Republican lawmakers penned a letter to Biden urging him to withdraw Becerra's nomination.

The group of lawmakers, including 11 senators and many more members of the House, argued that Becerra is inexperienced and ill-prepared to guide the agency. Democrats have argued that Becerra has extensive experience in health care policy, first as a congressman who oversaw components of Medicare and then as a defendant of Obamacare as attorney general, using that role to add new focus on the issue.

And the Senate Judiciary Committee will resume its hearing, which began Monday, to consider Merrick Garland for attorney general.

Garland received a fairly warm welcome from both sides of the aisle during Monday's hearing, and a few GOP senators expressed their support for Garland. In the first half of his confirmation hearing Monday, he told senators his first briefing once he takes office at the Justice Department will be on the Jan. 6 assault on the U.S. Capitol.

-ABC News' Cheyenne Haslett, Allison Pecorin, Luke Barr and Alexander Mallin