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WASHINGTON — President Donald Trump’s push for bigger $2,000 COVID-19 relief checks stalled out Tuesday in the Senate as Republicans blocked a swift vote proposed by Democrats and split within their own ranks over whether to boost spending or defy the White House.

The roadblock mounted by Senate Majority Leader Mitch McConnell may not be sustainable as pressure mounts. Trump wants the Republican-led chamber to follow the House and increase the checks from $600 for millions of Americans. A growing number of Republicans, including two senators in runoff elections on Jan. 5 in Georgia, have said they will support the larger amount. But most GOP senators oppose more spending, even if they are also wary of bucking Trump.

Senators will be back at it Wednesday as McConnell is devising a way out of the political bind, but the outcome is highly uncertain.

“There’s one question left today: Do Senate Republicans join with the rest of America in supporting $2,000 checks?” Senate Democratic leader Chuck Schumer said as he made a motion to vote.

The showdown has thrown Congress into a chaotic year-end session just days before new lawmakers are set to be sworn into office for the new year. It’s preventing action on another priority — overturning Trump’s veto on a sweeping defense bill that has been approved every year for 60 years.

Saying little about Trump’s proposal, McConnell signaled his preference for an alternative approach. The GOP leader filed new legislation late Tuesday linking the president’s demand for bigger checks with two other Trump priorities — restrictions on tech companies like Facebook or Twitter that the president complained are unfair to conservatives as well as the establishment of a new commission to review the presidential election.

“The Senate will begin a process,” the GOP leader said. He said only that he would bring the president’s demand for the $2,000 checks and other remaining issues “into focus.”

The president’s last-minute push for bigger checks deeply divides Republicans, who are split between those who align with Trump’s populist instincts and those who adhere to what had been more traditional conservative views against government spending. Congress had settled on smaller $600 payments in a compromise over the big, year-end relief bill Trump reluctantly signed into law.

Liberal senators led by Bernie Sanders of Vermont who support the relief aid are blocking action on the defense bill until a vote can be taken on Trump’s demand for $2,000 for most Americans.

“The working class of this country today faces more economic desperation than at any time since the Great Depression of the 1930s,” Sanders said as he also tried to force a vote on the relief checks. “Working families need help now.” But McConnell objected a second time.

The GOP blockade is causing turmoil for some as the virus crisis worsens nationwide and Trump amplifies his unexpected demands.

The two GOP senators from Georgia, David Perdue and Kelly Loeffler, announced Tuesday they support Trump’s plan for bigger checks as they face Democrats Jon Ossoff and Raphael Warnock in runoff elections that will determine which party controls the Senate.