Editor's Note: The source for the central claim in this story, published on July 26, 2018, was Lanny Davis, an attorney for Michael Cohen. Davis told CBS News on Tuesday that he could not confirm what he initially told CBS News was accurate. CBS News can no longer report that Cohen was willing to tell special counsel Robert Mueller that the president knew in advance of the June 2016 Trump Tower meeting. "I should have been more clear and this was my mistake that I couldn't confirm I had full confidence in about what I thought I knew about details," Davis said.

The story as originally published on July 26 follows:

President Trump's former attorney, Michael Cohen, is willing to tell special counsel Robert Mueller that the president knew in advance of a June 2016 Trump Tower meeting involving Mr. Trump's son, top campaign officials and a Russian lawyer, CBS News' Paula Reid has confirmed, though Cohen has no evidence to offer that corroborates his claim.

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Donald Trump Jr., Trump son-in-law Jared Kushner, and former Trump campaign chairman Paul Manafort met with Russian attorney Natalia Veselnitskaya, a gathering arranged by Trump Jr. because he believed Veselnitskaya had damaging information about Hillary Clinton.

When the meeting was first reported by the New York Times in July 2017, Mr. Trump said he had only learned about it "two or three days ago," that is, in 2017, about a year after the meeting had occurred.

CNN first reported Thursday Cohen's claim that Mr. Trump knew about the meeting in advance. According to CNN, Mr. Trump also approved the meeting.

Mr. Trump's current attorney, Rudy Giuliani, rejected Cohen's assertion during an interview with CNN Thursday. "There's no doubt in my mind that this is not credible," Giuliani said.

"I would not accept [Cohen] as a witness," he added. "This is the kind of witness who can really destroy your whole case."

Cohen's attorney, Lanny Davis Jr., declined to comment.

In a statement to CBS News, Trump Jr.'s attorney said Thursday that his client "has been professional and responsible throughout the Mueller and Congressional investigations. We are very confident of the accuracy and reliability of the information that has been provided by Mr. Trump, Jr., and on his behalf."

Trump Jr. testified before the Senate Judiciary Committee in May. He said he couldn't remember whether he had discussed the Russia investigation with his father, according to transcripts released of his interview with the panel.

The Associated Press reported Thursday that Veselnitskaya, the Russain lawyer at the meeting, worked more closely with senior Russian government officials than she previously let on, citing documents it had reviewed.

Earlier this week, Cohen gave CNN a two-minute audio recording of a conversation that had taken place between him and Mr. Trump in 2016. The two can be heard discussing paying a former Playboy model who alleges she had an affair with Mr. Trump in 2006.

Cohen is currently under federal investigation for his personal business dealings and is suspected of fraud.