The plan offered by Treasury Secretary Steven Mnuchin includes a $600 direct payment for individuals and $1,200 for couples, half the amount offered by the CARES Act in March.
House Minority Leader Kevin McCarthy on Tuesday called the Trump administration's proposal "a great offer."
The lawmakers in the Senate Democratic Caucus said the leading stimulus proposal "does not go anywhere near far enough."
Democratic leaders accused the Kentucky Republican of attempting to purposely derail ongoing bipartisan coronavirus relief negotiations by suggesting they exclude two major sticking points that has held up more pandemic aid.
The five Republican governors acknowledged that there are "legitimate differences" of opinion on what the package should include, but said they pale in comparison to the "cost of doing nothing."
"New York subsidizes the rest of the country. We are the biggest net donor state in the United States of America," Representative Tom Suozzi said.
No current potential stimulus package that is being negotiated on Capitol Hill includes anything like the $1,200 checks that many Americans received under the Cares Act. But McConnell reportedly would not oppose it if the provision is added.
The proposed economic relief package does not contain another round $1,200 stimulus checks for Americans.
The Senate leader's steadfast position is despite growing support for a bipartisan proposal worth nearly twice as much, a bill that Republicans are pressuring McConnell to endorse.
Hawley said Trump seemed reception to the idea.
Lawmakers from both parties stressed the need to pass a stimulus bill by the end of the year as Congress considers a $900 billion bipartisan proposal that does not include checks.
"We are working right now on language so that we can have—as early as tomorrow—a piece of legislation," Senator Mark Warner said on Sunday.
These last-minute steps can save you a bundle on taxes and healthcare and set you up for a financially better 2021—no matter what Congress does or when it acts on pandemic economic relief.
The Senate Majority Leader is holding out for a $550 billion version of his previous GOP proposal, but the new unemployment report has given Democrats and economists further ammunition to demand he accept a bipartisan deal.
Democrat Alexandria Ocasio-Cortez and Republican Josh Hawley said they wouldn't support the $908 billion proposal unless it included a second stimulus check.
"That is a total game changer: a new president and a vaccine," House Speaker Nancy Pelosi told reporters. "The fact is, I'm very proud of where we are."
Elusive from the fray over a bipartisan stimulus proposal was Senate Majority Leader Mitch McConnell, who continues to push for a narrow measure that has little hopes of advancing.
Getting Democrats to sign onto the bipartisan relief plan as it stands now will require them to make significant concessions from the HEROES Act that twice passed the House of Representatives.
Senate Minority Leader Chuck Schumer pushed back against McConnell's comments, saying the Senate majority leader was "blaming the Democrats for everything."
The president said he wanted to spend more than Democrats did on stimulus in comments pre-Election Day, though is now backing plans for much less relief spending.
A new stimulus proposal was outlined which did not include another round of direct payments, despite previous bipartisan support for such action.
Polling has shown people across the U.S. doubt relief is coming imminently, despite the consensus among lawmakers and the public that it is needed in some form.
"I think it's ridiculous that you're play acting to be a lawyer when you have no legal degree," Rep. Katie Porter (D-Calif.) told Treasury Secretary Steven Mnuchin during a House hearing on Wednesday.
The President-elect said the $908 billion aid package "wouldn't be the answer, but it would be the immediate help for a lot of things."
For months, Democrats and Republicans have disagreed on the size and scope of a new economic relief package.
In response to the release of the documents, Christopher W Smith, General Counsel for Kushner Companies said that the notion that Kushner Properties improperly benefitted from the loans is "completely untrue and amounts to nothing more than politically motivated nonsense."
In October, the White House put out a $1.8 trillion compromise, but the House speaker rejected it.
More than 8 in 10 small business owners want Congress to pass a second stimulus package.
Certain people in New Mexico and Colorado, and possibly Houston, will get payments even though Congress has not passed new legislation with stimulus checks.
It comes as lawmakers continue to dispute what should be included in a further relief package.