John Pistole made the comments Thursday following the opening of a "pre-check" application site for expedited screening at LAX.
The agency is conducting a review of the shooting that left one officer dead.
It will focus on changes to improve communication between the TSA and local law enforcement.
The Associated Press reported there was a delay of nearly a minute and a half before a radio call alerted officers of the shooting.
Pistole says virtually every issue is on the table, except for arming officers. He says introducing more guns is not the solution.
The review will be submitted to Congress within 90 days.