Sen. John Thune John Randolph ThuneWhat Senate Republicans have said about election-year Supreme Court vacancies The Hill's 12:30 Report - Presented by Facebook - Don't expect a government check anytime soon The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Trump contradicts CDC director on vaccine, masks MORE (R-S.D.), the No. 2 Senate Republican, said on Saturday that there is an agreement on the "general contours" of a coronavirus stimulus package, while noting that they are still ironing out the policy details.

"Basically we know kind of the general contours of what this is going to look like, what the outline is going to be. And I think that now it's just a question of trying to figure out, plugging in some of the policy, and in figuring out where the numbers are," Thune told reporters after a closed-door policy lunch.

Thune added that there were still "some small differences," but "on the main points I think everybody is kind of in the same place."

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"I mean there are some loose ends, and there are some policy pieces that still haven't been decided on," he added, saying that on the "major categories" there is "general agreement."

Thune's comments are the latest sign that lawmakers are closing in a mammoth spending package to combat the economic fallout due to the coronavirus that is expected to top $1 trillion.

Negotiators have been given until 5 p.m. to lock down an agreement.

The news comes after they missed a midnight deadline, deadlocked on key issues like unemployment and a state stabilization fund.

Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellOcasio-Cortez to voters: Tell McConnell 'he is playing with fire' with Ginsburg's seat McConnell locks down key GOP votes in Supreme Court fight Video shows NYC subway station renamed after Ruth Bader Ginsburg MORE (R-Ky.) told reporters before the closed-door lunch that they would "clearly" get an agreement.

He said after the lunch that they had a “fulsome discussion" and were making "progress" toward the measure.

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"We discussed some other changes that we think may make sense, and we're still on the same timeline. With a ...procedural vote tomorrow," he added.

The stimulus package under discussion is expected to include relief for small businesses, industries like airlines and impacted workers. There is growing concern that jobless claims will spike as soon as next week as businesses have had to curtail their activities or close altogether.

The Senate is expected to hold a procedural vote on Sunday on a "shell" bill, which is being used as a placeholder for the stimulus package.

McConnell wants to pass the package on Monday.