Asked if he believed he was guilty of breaching the Official Secrets Act, the MP replied: "I think the public will be the best judge of that."
The four-page memo - apparently outlining how the Prime Minister argued against missile strikes on al-Jazeera's headquarters in Qatar - was first revealed in November.
The two leaders also discussed the American assault on the Iraqi city of Falluja, in which up to 1,000 civilians are feared to have died. Pictures were shown on al-Jazeera - infuriating US generals.
Cabinet Office employee David Keogh and Leo O'Connor, an aide to former Labour MP Tom Clarke, will stand trial at the Old Bailey charged under the Official Secrets Act.
Keogh is alleged to have passed a memo to O'Connor between April 15, 2004 and May 29, 2004.
Now Mr Kilfoyle has revealed Mr Clarke told him of the memo's contents. The Walton MP in turn passed them on to John Latham, a Democrat supporter living in California.
He hoped to influence the looming 2004 US election, but the memo was not revealed in the US because Democrats feared the revelation would be a vote-winner for President Bush.
Its contents were eventually published by the Daily Mirror - after which Lord Goldsmith, the Attorney General, threatened other newspapers with the Official Secrets Act if they re-published.
Mr Kilfoyle added: "I said to Tony 'Give it to me and I will publish it to anyone I can', but he was more restrained and decided to give it back to Downing Street."
The MP has become one of the fiercest critics of the Iraq invasion, supporting Parliamentary moves to impeach the Prime Minister for deceiving MPs and the public.
A Scotland Yard spokesman said he could not discuss Mr Kilfoyle's comments while the prosecution of Keogh and O'Connor was ongoing. The pair face a preliminary hearing on January 24.
Yesterday, defence lawyers were shown the secret document and confirmed they would ask the trial judge to authorise its disclosure as "crucial" to the case.