House Speaker Nancy Pelosi Nancy PelosiPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' On The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline Trump signs largely symbolic pre-existing conditions order amid lawsuit MORE (D-Calif.) and Treasury Secretary Steven Mnuchin Steven Terner MnuchinOn The Money: Anxious Democrats push for vote on COVID-19 aid | Pelosi, Mnuchin ready to restart talks | Weekly jobless claims increase | Senate treads close to shutdown deadline Vulnerable Democrats tell Pelosi COVID-19 compromise 'essential' Pelosi asks panels to draft new COVID-19 relief measure MORE have reached a "near-final agreement" on a two-year budget deal, according to a source close to the talks.

The emerging deal includes an increase in top-line defense and nondefense spending numbers for the 2020 and 2021 fiscal years, which are used to craft government funding bills. It would also suspend the debt limit until July 31, 2021.

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"The near-final agreement is a traditional bipartisan budget agreement where both sides will be unhappy with some aspects — a true compromise," the source said in an email to The Hill.

They added negotiators are "down to some technical language issues," with Mnuchin keeping President Trump Donald John TrumpSteele Dossier sub-source was subject of FBI counterintelligence probe Pelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' Trump 'no longer angry' at Romney because of Supreme Court stance MORE and congressional Republicans updated on the progress in the talks.

The source said there is "parity" in the increase for defense and nondefense spending, but didn't immediately respond to questions about the details of the spending increases.

In a sign of retreat by the White House, the "near-final agreement" would include roughly $75 billion in offsets, or spending cuts and revenue raisers, to help pay for the deal. That's half of the $150 billion the administration had pushed to include in the agreement.

The White House reportedly sent a list of $574 billion in potential cuts to congressional leaders late last week, which was dismissed by Democrats as a negotiating tactic.

How to pay for the budget deal, and how much of it to pay for, was the final major sticking point for the negotiations, after talks bounced between Pelosi and Mnuchin for more than a week.

"That's what we're discussing. We're close. And I think there's a desire to come to an agreement from all of us. My worry here [is] ... if Mulvaney tries to be too hard on the offset side that we wouldn't come to an agreement," Senate Minority Leader Charles Schumer Chuck SchumerPelosi slams Trump executive order on pre-existing conditions: It 'isn't worth the paper it's signed on' 3 reasons why Biden is misreading the politics of court packing Cruz blocks amended resolution honoring Ginsburg over language about her dying wish MORE (D-N.Y.) told reporters last week, referring to acting White House chief of staff Mick Mulvaney Mick MulvaneyOn The Money: House panel pulls Powell into partisan battles | New York considers hiking taxes on the rich | Treasury: Trump's payroll tax deferral won't hurt Social Security Blockchain trade group names Mick Mulvaney to board Mick Mulvaney to start hedge fund MORE.

The burgeoning agreement comes as lawmakers are going down to the wire to get a deal before they leave town for the August recess. The House will have only days to pass it before they leave town on Friday. The Senate will remain in Washington until Aug. 2.

Without an agreement, lawmakers were under pressure to hold a stand-alone vote on hiking the debt ceiling before they left for the August recess. They have until January to avoid the across-the-board budget cuts under sequestration.

The debt limit was exceeded earlier this year, and the Treasury Department is now taking steps known as "extraordinary measures" to prevent the government from going over its borrowing limit.

"Based on updated projections, there is a scenario in which we run out of cash in early September, before Congress reconvenes. As such, I request that Congress increase the debt ceiling before Congress leaves for summer recess," Mnuchin wrote in a letter to congressional leadership earlier this month.