The assessments could result in rioters being added to the federal no-fly list, the person said. The official spoke on condition of anonymity to discuss details that weren't made public.
The FBI said earlier this week it was considering adding Capitol rioters to the federal no-fly list but stopped short of saying that individuals were being scrutinised. The TSA vets airline manifests and notifies airlines when a ticketed passenger appears to be ineligible to fly.
Airlines and Washington-area airports also have promised tighter security after last week's riot at the Capitol by supporters of President Donald Trump. Each of the nation's seven largest airlines say they will temporarily prohibit passengers flying to Washington from putting guns in checked bags.
Since the January 6 riots the hashtag #NoFlyList had begun trending online, with many bogus videos claiming to show those involved in the Capitol riots being refused board at airports. However, until now, the FAA and TSA had not explicitly said it was targeting participants in the violent Washington Protests.
On Thursday, the FAA said it would issue "no warnings" against disruptive passengers.
Earlier in the week, the Federal Aviation Administration announced it will take a tougher enforcement stance toward passengers accused of interfering with or assaulting airline crew members or other passengers. That decision followed a number of incidents on planes of people refusing to wear masks, yelling at other passengers, and in a few cases harassing members of Congress at airports.