WASHINGTON (CNN) -- The former emergency management chief who quit amid widespread criticism over his handling of the aftermath of Hurricane Katrina said he received an e-mail before his resignation stating President Bush was glad to see the Oval Office had dodged most of the criticism.

Michael Brown, former director of the Federal Emergency Management Agency, said Friday that he received the e-mail five days before his resignation from a high-level White House official whom he declined to identify.

The e-mail stated that Bush was relieved that Brown -- and not Bush or Homeland Security Secretary Michael Chertoff -- was bearing the brunt of the flak over the government's handling of Katrina. (Watch how Brown fell from grace -- 4:00)

The September 2005 e-mail reads: "I did hear of one reference to you, at the Cabinet meeting yesterday. I wasn't there, but I heard someone commented that the press was sure beating up on Mike Brown, to which the president replied, 'I'd rather they beat up on him than me or Chertoff.' "

The sender adds, "Congratulations on doing a great job of diverting hostile fire away from the leader."

CNN has been unable to verify the authenticity of the e-mail, but the White House designation "eop.gov" is part of the sender's e-mail address, indicating it came from the Executive Office of the President.

A White House spokesperson said in an e-mail to CNN: "This is an old rumor that surfaced months ago and we're not commenting on it. This story has already been reported and I have heard nothing at all that would substantiate it."

The e-mail was provided to CNN on the condition that the sender's name be redacted. Brown said only that the sender was a "good friend of the president," who has been with the president "a long time."

Brown said did he, too, considers the sender a friend.

While acknowledging that part of a political appointee's job is to "take the sword" for the president, Brown said he has grown weary of Chertoff making him a scapegoat for FEMA's failures in the wake of Katrina.

"I'm not willing to take that sword for Michael Chertoff," Brown said.