U.S. Senate Democrats on Tuesday unveiled a new version of an election reform bill that is a top priority of President Joe Biden, amid a wave of Republican state legislatures imposing restrictions on voting.

Senator Amy Klobuchar and seven fellow Democrats, including moderates such as Joe Manchin, introduced the bill that would set national standards for states to follow as they administer elections.

The Democrat senators said their bill, dubbed the “Freedom to Vote Act,” would ensure that all qualified voters can request mail-in ballots and have at least 15 days of early voting. The legislation also would allow people to register to vote as late as Election Day.

“Following the 2020 elections in which more Americans voted than ever before, we have seen unprecedented attacks on our democracy in states across the country,” the senators said in a statement.

But with Republicans accusing Democrats of a “power grab” that would rob states of their ability to fashion voting rules, the legislation faces a tough battle in the Senate, which is divided 50-50 between the two parties.

In June, all 50 Senate Republicans banded together to block a more ambitious bill, leaving Democrats 10 votes short of the minimum needed for it to advance. Under the Senate’s “filibuster” rule, at least 60 votes in the 100-member chamber are needed for most legislation to advance.

On Monday, Senate Majority Leader Chuck Schumer said a vote by the full Senate on the retooled bill could come as early as next week.

The bill also would reduce the ability of states to fashion congressional districts in a partisan way and would aim to lift a veil of secrecy over some campaign contributions.

Democrats accused Republican-controlled states of imposing new voting rules to suppress Election Day turnout, especially among Black, Hispanic and young voters, many of whom lean Democrat.

In mid-term elections set for Nov. 8, 2022, voters will decide whether control of the U.S. Senate and House of Representatives should remain in Democrat’s hands or be turned over to Republicans.

Democrats hold the narrowest of majorities in Congress.

Last week, Texas joined the list of states enacting new election restrictions, which Biden called an “all-out assault” on American democracy.

The state’s new rules would make it harder for Texans to cast mail-in ballots and would add identification requirements for such voting.

Texas Governor Greg Abbott said the law would make it “harder for people to cheat at the ballot box.”

If Republicans again refuse to provide the support needed in the Senate for the bill to clear the 60-vote threshold, some Democrats are expected to urge Schumer to carve out an exception to the filibuster rule so that only a simple majority of the 100-seat Senate is required for passage.