The memo will likely include redactions, the source said.
Trump said that the memo "totally vindicates" him.
The Nunes memo was released Friday after approval from President Donald Trump.
Representative Adam Schiff said House Intelligence Committee Chairman Devin Nunes changed a controversial memo after the panel reviewed it.
The Fox News host previously suggested a memo that reportedly details abuse of government authority under the Foreign Intelligence Service Act (FISA) is bigger than Watergate.