Republicans racing for the finish line said they could hold final votes in the House and Senate on their tax-cut bill as early as Tuesday, finishing off the first major legislative victory for President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE.

Senate Majority Whip John Cornyn John CornynThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight Senate GOP faces pivotal moment on pick for Supreme Court MORE (R-Texas) told reporters the chamber could vote on the bill Tuesday evening or Wednesday morning as two previously undecided GOP senators, Mike Lee Michael (Mike) Shumway LeeMcConnell shores up GOP support for coronavirus package McConnell tries to unify GOP Davis: The Hall of Shame for GOP senators who remain silent on Donald Trump MORE of Utah and Susan Collins Susan Margaret CollinsClub for Growth to spend million in ads for Trump Supreme Court nominee Maryland's GOP governor says Republicans shouldn't rush SCOTUS vote before election The Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November MORE of Maine, said they would back it.

While both were expected to support the bill, their public declarations added to the sense of inevitability surrounding the bill.

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The House is expected to vote Tuesday.

The pre-Christmas votes will follow new reports that say the tax plan’s costs could exceed $2 trillion over 10 years before factoring in economic growth if the bill’s temporary tax cuts are made permanent. That’s significantly higher than the Joint Committee on Taxation estimate that the bill as written would cost $1.46 trillion.

Most of the tax cuts for individuals expire after 2025, and some other provisions in the bill are also temporary, while the reduction in the corporate tax rate is permanent. Some of the tax changes are temporary in order to comply with budget rules that prevent the bill from adding to the deficit after 10 years if it is to avoid a filibuster from Democrats.

The Committee for a Responsible Federal Budget, a nonpartisan deficit hawk group, estimated that making the tax cuts permanent would increase the bill’s cost to $2 trillion to $2.2 trillion using traditional scoring and would result in the bill costing $1.5 trillion to $1.7 trillion after accounting for economic growth.

The right-leaning Tax Foundation estimated that making the plan permanent would cost $2.7 trillion before accounting for economic growth and $1.4 trillion after doing so.

House Ways and Means Committee Chairman Kevin Brady Kevin Patrick BradyBusinesses, states pass on Trump payroll tax deferral Trump order on drug prices faces long road to finish line On The Money: US deficit hits trillion amid pandemic | McConnell: Chance for relief deal 'doesn't look that good' | House employees won't have payroll taxes deferred MORE (R-Texas) pointed out that the Tax Foundation also indicated that the tax bill would boost economic growth, and was optimistic that the legislation would be successful in strengthening the economy and the U.S. business climate.

“We just finished eight years with Washington spending your money. How about we try eight years of you spending your money. And then a future Congress will decide which one works best for the country,” he told reporters Monday. “I’m convinced they’ll decide that stronger growth and a far more competitive tax code means continuing those permanently.”

When the House passed its version of the tax bill last month in a 227-205 tally, only 13 Republicans voted against it, mostly due to concerns about its curbs to the state and local tax (SALT) deduction.

The House-passed bill would have eliminated the deductions for state and local income and sales taxes and capped the property tax deduction at $10,000. The final bill is more generous, capping the total amount of state and local tax deductions households can take at $10,000 in a year but allowing them to deduct their property taxes as well as either their income or sales taxes.

Even with that change, some GOP lawmakers in high-tax states who voted against the House bill have said they plan to vote against the bill.

“The overall impact of changes to the SALT deduction will accelerate the trend of hardworking individuals and businesses already leaving our state — further eroding New York’s tax base,” Rep. John Faso John James FasoDemocrats go big on diversity with new House recruits Kyle Van De Water wins New York GOP primary to challenge Rep. Antonio Delgado The most expensive congressional races of the last decade MORE (R-N.Y.) said in a statement Monday.

“Due 2 pressure of several members like me, bill was improved, but not enough for a significant # of my constituents,” said Rep. Dana Rohrbacher (R-Calif.) on Twitter.

One lawmaker who will be in the spotlight Tuesday is Rep. Rodney Frelinghuysen Rodney Procter FrelinghuysenBottom line Republican lobbying firms riding high despite uncertainty of 2020 race Ex-Rep. Frelinghuysen joins law and lobby firm MORE (R-N.J.), chairman of the House Appropriations Committee.

Chairmen of big committees generally vote with their party on major legislation, but Frelinghuysen, who is in a competitive district, voted against the House bill last month due to SALT deduction concerns. That drew a backlash from conservatives, some of whom think he should be replaced as chairman.

The Senate could see every Republican member in attendance vote for the bill.

Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeHow fast population growth made Arizona a swing state Jeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Republican former Michigan governor says he's voting for Biden MORE (R-Ariz.) is the only Republican who, as of Monday evening, has not said how he would vote. Flake voted for the Senate bill earlier this month.

Sen. John McCain John Sidney McCainThe Memo: Trump's strengths complicate election picture Mark Kelly: Arizona Senate race winner should be sworn in 'promptly' Cindy McCain: Trump allegedly calling war dead 'losers' was 'pretty much' last straw before Biden endorsement MORE (R-Ariz.) will miss the vote because he will be in Arizona receiving medical treatment. Sen. Thad Cochran William (Thad) Thad CochranEspy wins Mississippi Senate Democratic primary Bottom Line Mike Espy announces Mississippi Senate bid MORE (R-Miss.) also missed votes last week due to health issues but is expected to be in attendance for the tax vote.

Sen. Bob Corker Robert (Bob) Phillips CorkerHas Congress captured Russia policy? Tennessee primary battle turns nasty for Republicans Cheney clashes with Trump MORE (R-Tenn.) voted against the earlier Senate bill, but says he will back the conference report.

Democrats have pointed to a provision in the bill relating to pass-through businesses as the “Corker kickback,” suggesting he switched his vote because the final bill could benefit people with real estate holdings.

But key Republicans say the retiring Corker was not involved in including that provision in the final bill, which they say came from House Republicans who wanted to help capital-intensive companies.

“The claim that Senator Corker had anything to do with it, in my view, is baloney,” Brady said.

Jordain Carney contributed.