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

Biden signed an executive order Wednesday that will begin a 100-day investigation into vulnerabilities in the supply chain of critical sectors including computer chips, large capacity batteries, active pharmaceutical ingredients and critical and strategic materials, including rare earth minerals.

Biden touted the move as something that will strengthen America for future challenges like the COVID-19 pandemic, which revealed myriad flaws in the supply chain.

"This is about making sure the United States can meet every challenge we face in this new era," Biden said. "Pandemics, but also in defense, cybersecurity, climate change, and so much more. And the best way to do that is by protecting and sharpening America’s competitive edge by investing here at home."

In remarks before the signing, he called the subject one of few "where Republicans and Democrats agreed," having met earlier in the day with a bipartisan group of lawmakers.