Treasury Secretary Steven Mnuchin Steven Terner MnuchinLawmakers fear voter backlash over failure to reach COVID-19 relief deal United Airlines, unions call for six-month extension of government aid House Democrats plan to unveil bill next week to avert shutdown MORE will outline a third coronavirus financial aid package to Senate Republicans on Tuesday as lawmakers begin to home in on what additional legislation will look like.

"We'll be looking for support for small- and medium-sized businesses. We'll be looking for support for certain industries that we've talked about that are particularly hard hit. I've talked about airlines, hotels, others. And we will be looking at a general stimulus," Mnuchin told reporters after a meeting with some GOP senators on Monday night.

In addition to policy proposals, Mnuchin is expected to present Republicans during the closed-door policy lunch with a general price tag for the third legislative package.

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"I'm not going to comment on the specific numbers right now. I'll be talking to Republicans at lunch tomorrow, but it's a big number," Mnuchin said.

Mnuchin, White House economic adviser Larry Kudlow Larry KudlowMORE and White House director of legislative affairs Eric Ueland huddled with Senate Republicans on Monday night to discuss the House-passed coronavirus package as well as ideas for additional legislation.

Ueland, speaking with reporters after the Monday meeting, said Mnuchin would detail "specific" policy ideas during Tuesday's lunch.

"The president has instructed his team to look very expansively at what we need to do and not be impeded by the potential price tag," Ueland said.

Asked what Mnuchin would be talking about during the Tuesday lunch, Ueland said there would be "a discussion about next steps and the next phase."

It's unclear how quickly Congress would be ready to move a third legislative package. The House is currently at the start of a one-week recess, and Democratic leadership isn't expected to bring members back to Washington until a deal is reached.

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Ueland said the administration has a "real focus on urgent action" and wouldn't rule out putting together a third package by the end of the week.

"There is a need for speed. ... I'm hopeful that there could be swift consideaton of consensus ideas," he said.

Congress is under growing pressure to take action to shore up the economy amid growing concerns about a widespread coronavirus outbreak within the United States.

Congress already passed an $8.3 billion bill earlier this month. The House has passed a second package, which could pass the Senate as soon as Tuesday.

But amid signs of a potential economic downturn — the Dow dropped nearly 3,000 points on Monday — leadership in both chambers is already throwing out ideas for a third legislative package.

Senate Minority Leader Charles Schumer Chuck SchumerPelosi orders Capitol flags at half-staff to honor Ginsburg Ginsburg in statement before her death said she wished not to be replaced until next president is sworn in Democrats call for NRA Foundation to be prohibited from receiving donations from federal employees MORE (D-N.Y.) is expected to unveil at least $750 billion in spending as soon as Tuesday. Ueland declined to comment on the spending level.

Schumer's proposal would put money "directly into hands of American people" and include funding for a laundry list of issues, including bolstering hospital capacity, providing help for small businesses and delaying payments on federal loans.

“We will need big, bold, urgent federal action to deal with this crisis. The kinds of targeted measures we are putting together will mainline money into the economy and directly into the hands of families that need it most," Schumer said in a statement.

Senate Republicans are also discussing "next steps" in terms of legislation and held a conference call over the weekend.

"Senate Republicans are absolutely convinced that the House’s bill can only be the beginning of Congress’s efforts to secure our economy and support American families," Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE (R-Ky.) said from the Senate floor on Monday.

Republicans discussed ideas for third and fourth phases during Monday night's meeting, according to Sen. Mitt Romney Willard (Mitt) Mitt RomneySenate Republicans face tough decision on replacing Ginsburg McConnell says Trump nominee to replace Ginsburg will get Senate vote GOP-led panel to hear from former official who said Burisma was not a factor in US policy MORE (R-Utah).

"Secretary Mnuchin is doing a very good job looking at phase two, phase three and phase four," Romney told reporters as he left Monday night's meeting.

Phase three, according to Romney, would focus on small businesses and impacted workers, while phase four would focus on impacted industries such as the airlines.

Sen. Ron Johnson Ronald (Ron) Harold JohnsonThe Hill's Morning Report - Sponsored by The Air Line Pilots Association - White House moves closer to Pelosi on virus relief bill Second GOP senator to quarantine after exposure to coronavirus GOP-led panel to hear from former official who said Burisma was not a factor in US policy MORE (R-Wis.) added that Republicans and the administration officials are talking about "next steps."

"There are just more things that need to be done," Johnson said when asked about the third and fourth phases.