Disputes over the 6,300-page review and the years-long research conducted by Intelligence Committee staff have led to a rift between the Central Intelligence Agency and the panel, which is headed by Senator Dianne Feinstein.
She said yesterday that a vote is expected April 3, after one this week was postponed to give lawmakers more time to review the parts of the document that could be released to the public.
"I think it's very important that it be made public" so that the brutal interrogation techniques used in the program "will never happen again," she told AFP.
When the report, one of the most exhaustive acts of oversight by Congress, was approved by the committee back in 2012, Feinstein described the program's so-called black sites and use of enhanced interrogation techniques, including waterboarding, as "terrible mistakes."
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She has questioned whether the program yielded useful intelligence that could have thwarted future terrorist attacks. Lawmakers including Republican Senator John McCain equated the interrogation techniques with torture.
The move, which would require final steps by the intelligence community, is likely to revive debate over the highly controversial interrogation techniques that framed the program launched during president George W. Bush's administration at the height of the post-9/11 war on terror.
The behind-the-scenes spat between the CIA and the Senate committee spilled into the open in recent weeks, with Feinstein accusing the agency of spying on its congressional overseers, including tapping into computers used by Senate researchers.
President Barack Obama has said he would like to see the report made public, as has the program's chief legal architect John Rizzo.
The former CIA lawyer wrote an op-ed in yesterday's USA Today saying he understood the report offers "scathing" criticism of the interrogation program and those at the CIA, including himself, who conceived and implemented it.
"So be it. Let it out, along with the CIA's 122-page rebuttal," he added. "Americans deserve to see all of it and make their own judgements.