Thomas Kean made the comment even as he and other commissioners tried to steer clear of the debate over one of the administration's primary justifications for invading Iraq.
"We believe ... that there were a lot more active contacts, frankly, with Iran and with Pakistan than there were with Iraq," said Kean, a former Republican governor of New Jersey.
"Al Qaeda didn't like to get involved with states, unless they were living there. They got involved with Sudan, they got involved ... where they lived, but otherwise no," he said on the Sunday morning talk show circuit.
Kean said a commission staff document is an interim report and "we don't see any serious conflicts" with what the administration is saying.
That report, released last week, said there were contacts between Osama bin Laden's network and the Iraqi government, but they did not appear to have produced a collaborative relationship.
"I find it, frankly, shocking that the exaggerations of the administration before the war relative to that connection continue to this day," Sen. Carl Levin, D-Mich., in a broadcast interview.
One commissioner, Republican John Lehman, came to the defense of Vice President Dick Cheney, who is the most aggressive promoter of the idea that there were strong Iraqi ties to al Qaeda.
Lehman said new intelligence that "we are now in the process of getting" indicates one of Saddam's Fedayeen fighters, a lieutenant colonel, was a prominent al Qaeda member.
Cheney has said he probably has intelligence the commission does not have and "the vice president was right when he said that," Lehman said.
Lehman said the press was "outrageously irresponsible" to portray the staff report as contradicting what the administration said.
The commission's vice chairman, former Democratic Rep. Lee Hamilton of Indiana, said the White House and the commission agree on the central point: There is no evidence of a collaborative relationship between al Qaeda and Iraq in the Sept. 11 attacks on the United States.
Among the differences between what the White House has asserted and what the commission says it has found are:
Along with differences over Saddam's government and al Qaeda, a new question arose over whether Bush or Cheney gave the order on Sept. 11 to shoot down the fourth of the hijacked airliners. Lehman said Bush and Cheney told the commission that the president gave his approval after a discussion with Cheney who was on the scene in the White House command center. Newsweek magazine reported that commission staffers did not believe Cheney's account that he called Bush to get his approval for the shoot-down order.
In response to the flap over how strong Iraq's ties to al Qaeda were, Kean noted that the commission's mandate is confined to the Sept. 11 attacks.
But the commission's inquiry has led members into related areas as well, prompting Lehman to level strong criticism at Pakistan and Saudi Arabia, saying they have been paying "a kind of blackmail" and "certainly turned a blind eye for a long period of time to al Qaeda operations and al Qaeda operatives in their countries."