Senate Democratic leaders feel cautiously optimistic they have the 60 votes they need to advance unemployment benefits legislation on Monday, but that marks only the start of the congressional battle.

Even if the legislation passes the Senate next week, it faces an uphill road in the House. Advocates for extended benefits say the fight could play out between the chambers for weeks.

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There is growing sentiment among Republicans that it’s time to stop extended federal unemployment benefits after nearly six years of recession and slow recovery.

At least, House Republicans say the $6.4 billion cost of extending benefits another three months should be paid for with deficit-reduction measures.

An estimated 1.3 million unemployed workers saw their benefits lapse when the program expired at the end of last month.

Senate Democrats feel confident of getting 60 votes Monday because of the support of Sen. Dean Heller Dean Arthur HellerOn The Trail: Democrats plan to hammer Trump on Social Security, Medicare Lobbying World Democrats spend big to put Senate in play MORE (R-Nev.), who has teamed up with Sen. Jack Reed John (Jack) Francis ReedWhen 'Buy American' and common sense collide Hillicon Valley: Russia 'amplifying' concerns around mail-in voting to undermine election | Facebook and Twitter take steps to limit Trump remarks on voting | Facebook to block political ads ahead of election Top Democrats press Trump to sanction Russian individuals over 2020 election interference efforts MORE (D-R.I.) to push the three-month extension.

“Sen. Reed is trying to get as many supporters as he can from both sides of the aisle,” said Chip Unruh, Reed’s spokesman. “We are cautiously optimistic that enough members will do the right thing for their constituents and our economy and pass the bipartisan 3-month Reed-Heller fix.”

A Democratic leadership aide said Heller’s office “is optimistic he will get a few other folks to vote for cloture.”

President Obama interrupted his vacation to call Reed and Heller from Hawaii to encourage them.

Democrats need at least 5 Republican votes to advance a motion to proceed to the bill. Then Republicans could have a chance to amend it before voting to overcome another 60-vote hurdle to set up final passage.

Senate passage is a high political priority for Heller, whose home state is tied with Rhode Island for having the highest unemployment rate in the nation at 9 percent, according to the Bureau of Labor Statistics.

So far, however, no other Senate Republican has announced support for the aid package.

Sen. Susan Collins Susan Margaret CollinsSenate Republicans face tough decision on replacing Ginsburg Democratic senator calls for eliminating filibuster, expanding Supreme Court if GOP fills vacancy What Senate Republicans have said about election-year Supreme Court vacancies MORE, a centrist Republican from Maine, has indicated she would like to pass a short-term extension to give Congress more time to weigh potential reforms to the program.

“She has not said how she will vote on any specific proposal, but she has indicated that she believes the program should be extended for three months,” said an aide to Collins.

The aide argued the extra time would allow Congress to find funds to pay for unemployment benefits and redesign it to better incorporate job-training programs.

Speaker John Boehner John Andrew BoehnerLongtime House parliamentarian to step down Five things we learned from this year's primaries Bad blood between Pelosi, Meadows complicates coronavirus talks MORE (R-Ohio) said extended benefits should not add to the deficit, a break in recent tradition. Since the start of the Great Recession, Congress has only paid for extended unemployment benefits once, according to Ross Eisenbrey, vice president of the Economic Policy Institute.

Boehner John Andrew BoehnerLongtime House parliamentarian to step down Five things we learned from this year's primaries Bad blood between Pelosi, Meadows complicates coronavirus talks MORE has suggested linking unemployment aid to GOP-favored measures to spur job growth.

Rep. Dave Camp (R-Mich.), the chairman of the Ways and Means Committee, thinks legislation designed to speed the economy should be Congress’s primary focus.

“Despite a dozen extensions, academic research suggests the program has actually hurt, rather than helped, the job creation that the unemployed need most,” said Michelle Dimarob, a spokeswoman for the Ways and Means panel.

“It is time to focus on policies that will actually lead to real economic opportunities for families who are trying to get back on their feet and back into the workplace,” she said.

Critics say the GOP approach ignores the plight of families who depend on federal assistance to live day-to-day.

“There are eleven million unemployed. You’re not going to create enough jobs for all those people and they need to live,” said Eisenbrey.

“It would seem to me that five Republicans in the Senate should agree with Republicans around the country,” Senate Majority Leader Harry Reid Harry Mason ReidSenate Republicans signal openness to working with Biden Mellman: The likely voter sham Bottom line MORE (D-Nev.) said Sunday on CBS’s “Face the Nation.”

Reid has taken a strong stance against paying for unemployment benefits, which he views as an emergency expenditure.

He has voiced interest in reforming the program, although not in the same ways that Republicans have proposed.

He told the Las Vegas Sun last month that he would like to lower the unemployment rate thresholds that determine the length of benefits for individual states. Only states with 9-percent unemployment rates are eligible for 73 weeks of benefits, the maximum length of combined state and federal assistance.

“Hopefully, we can bring that number down,” he told his home-state paper.

Getting Senate Republicans to vote to proceed to the unemployment package will be easier than persuading them to end debate and set up a final measure if Democrats continue to insist that its cost not be offset.

“I think it’s going to be a very close call in the Senate but we’re optimistic they’ll eventually do the right thing,” said Judy Conti, federal advocacy coordinator for the National Employment Project.

She said that the omission of unemployment benefits from House Majority Leader Eric Cantor Eric Ivan CantorThe Hill's Campaign Report: Florida hangs in the balance Eric Cantor teams up with former rival Dave Brat in supporting GOP candidate in former district Bottom line MORE’s (R-Va.) January agenda was a troubling sign.

“The Republican House right now is sending the message that it doesn’t plan to do anything about that,” she said. “It’s bad for the economy and bad for the families that depend on these benefits.”

Sen. Lamar Alexander Andrew (Lamar) Lamar AlexanderChamber of Commerce endorses McSally for reelection Trump health officials grilled over reports of politics in COVID-19 response Now is the time to renew our focus on students and their futures MORE (Tenn.) suggested Sunday that he wouldn't back the extension scheduled to hit the floor this week.

“I will not vote to bring this legislation to the floor unless senators have an opportunity to debate and vote on the many good ideas for helping unemployed Americans find a job," said Alexander, who has been known to reach across the aisle to work with Democrats.

"Unfortunately, the Senate appears to be starting the new year just like the old one ended, with the Democratic leader bypassing committee consideration and cutting off all amendments and debate on an important issue.”

Sen. Chuck Schumer Chuck SchumerPelosi orders Capitol flags at half-staff to honor Ginsburg Ginsburg in statement before her death said she wished not to be replaced until next president is sworn in Democrats call for NRA Foundation to be prohibited from receiving donations from federal employees MORE (D-N.Y.) told reporters on a conference call Sunday that if Republicans blocked an unemployment insurance extension, it would “place them far out of the mainstream.”

“We will come back at this issue,” said Schumer, who also repeated his assertion from ABC’s “This Week” that it was “insulting” for Republicans to say that extended jobless insurance acted as a disincentive for people to search for jobs.

Sen. Jeanne Shaheen Cynthia (Jeanne) Jeanne ShaheenSenate Democrats introduce bill to sanction Russians over Taliban bounties Trump-backed candidate wins NH GOP Senate primary to take on Shaheen Democratic senator urges Trump to respond to Russian aggression MORE (D-N.H.) added that unemployment insurance has been a bipartisan issue in the past, including during George W. Bush’s administration.

“This is an issue that’s always had broad, bipartisan support,” Shaheen said on the conference call. “So it’s surprising that there’s not that kind of bipartisan support, or at least it’s not clear there will be, to continue this.”

The Senate debate will play out over the next week but time is limited because Congress must pass legislation by Jan. 15 to keep the government funded through the rest of the fiscal year.

The Senate will vote on the motion to proceed to Reed-Heller shortly after 5:30 p.m. Monday, after the Senate votes to confirm Janet Yellen to serve as the next head of the Federal Reserve.

Mike Lillis and Bernie Becker contributed to this report, which was updated at 10:17 p.m.