The Senate sometime in September is set to take up a proposal to codify federal protections for same-sex marriage as the bill’s supporters work to garner the 10 necessary Republican votes it’ll need to pass.

The Respect for Marriage Act could come up for consideration shortly after the Senate and House return from their summer recesses, just after Labor Day, Senate Majority Leader Chuck Schumer (D-NY) told reporters. But it remains unclear whether the legislation will win enough Republican votes to overcome the Senate’s 60-vote filibuster threshold needed to begin debate on the bill.