The House Judiciary Comm has "reserved the right to have public testimony."

http://judiciary.house.gov/news/090304.html

WASHINGTON (DC) – In an agreement reached today between the former Bush administration and Congressman John Conyers, Jr. (D-Mich.), chairman of the House Judiciary Committee, Karl Rove and former White House Counsel Harriet Miers will testify before the House Judiciary Committee in transcribed depositions under penalty of perjury. The committee has also reserved the right to have public testimony from Rove and Miers. It was agreed that invocations of official privileges would be significantly limited.

In addition, if the committee uncovers information necessitating his testimony, the committee will also have the right to depose William Kelley, a former White House lawyer who played a role in the U.S. attorney firings.

The committee will also receive Bush White House documents relevant to this inquiry. Under the agreement, the landmark ruling by Judge John Bates rejecting key Bush White House claims of executive immunity and privilege will be preserved. If the agreement is breached, the committee can resume the litigation.

(end snip)

emphasis mine. Maybe all will not be behind closed doors. At least it is under oath, not that they won't lie their butts off.