The wide-ranging legislation targets climate change, health care costs and taxes. Majority Leader Chuck Schumer kicked off floor debate on Saturday evening.
The Arizona senator said she will move forward with the Inflation Reduction Act after Democrats reached an agreement to remove a carried interest tax provision.
The symbolic action comes as Sinema has come under criticism from progressive groups in Arizona after she voted to uphold the filibuster in the Senate.
The president left a meeting with Senate Democrats pessimistic about a way forward on voting rights, as Sens. Kyrsten Sinema and Joe Manchin reiterated their opposition to changing Senate rules.