Here's when the next round of COVID money could hit your bank account

Rep. Quigley on the status of the $1.9T COVID relief bill

U.S. Rep. Mike Quigley (D-Ill.) talks about the House being set to vote on the $1.9T COVID relief bill.

Senate Democrats approved the Biden administration's $1.9 trillion coronavirus relief package, paving the way for a third $1,400 stimulus check for millions of Americans — and households could start to receive the money in just a few weeks.

The American Rescue Plan will now head to the House for final approval, which is expected on Wednesday. Once Congress approves the emergency aid bill, President Joe Biden needs to sign the legislation to release the money; he's widely expected to do so before Sunday, when two key jobless aid programs are set to expire.

The IRS and Treasury Department would then distribute the cash payments through direct deposit, mailed checks and prepaid debit cards.

"The first batch of payments will go to all taxpayers who provided direct deposit in 2019 or 2020 returns, followed by taxpayers who didn't provide that information," said White House Press Secretary Jen Psaki during a Wednesday briefing.

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The federal government took about two weeks to start distributing the first round of $1,200 payments in April, and about one week to send the second round of checks, worth $600, in January. White House press secretary Jen Psaki said Monday that Biden expects a "large number" of Americans to receive checks by the end of March.

The cash payments included in the nearly $2 trillion stimulus bill are the largest yet, with individuals earning $75,000 or less eligible to receive the fully promised $1,400. Couples earning $150,000 or less will receive a check worth $2,800. Households will receive an additional $1,400 for each dependent child claimed on their most-recent tax filings.

Economic stimulus checks are printed at the Philadelphia Financial Center in Philadelphia, Pennsylvania. (Jeff Fusco/Getty Images)

As with previous rounds, Americans who earn more than the threshold line will still receive a partial check. But the money will phase out faster than previous rounds, cutting off payments for roughly 16 million Americans who qualified for previous relief payments, according to a preliminary analysis published by the left-leaning Institute on Taxation and Economic Policy.

Individuals making $80,000 a year or more and couples making $160,000 a year, or higher, no longer qualify for the checks. That means individuals earning between $80,000 and $100,000, and couples earning between $160,000 and $200,000, are newly excluded from a partial check under the legislation.

The American Rescue Plan also extends unemployment benefits at $300 a week through August, expands the child tax credit to offer parents up to $3,600 per child, includes $350 billion in funding for state and local governments and allocates billions of dollars for vaccine distribution.