A security advisory distributed to airports and pilots by the federal agency warned that Dorner was believed to have received flight training while in the Navy, "but the extent of his potential flying skills is unknown."
The elusive triple-murder suspect has already travelled hundreds of miles across Southern California in his week long crime-spree, and tried unsuccessfully to steal a boat in San Diego late Wednesday.
"While there is no specific information at this time that Dorner is considering using general aviation, TSA requests that operators use an increased level of awareness concerning any suspicious activity during the coming days," according to the TSA alert.
Suggested precautions included securing unattended aircraft, verifying cargo and passengers, keeping an eye out for unknown pilots or personnel, watching out for altered or inconsistent identification and being aware of anyone persons "who appear tu be under stress or the control of other persons."
The TSA requested any aircraft thefts be reported immediately, and any suspicious activity reported to local law enforcement as well as the TSA.