The report indicates a crew member on the fire truck heard a warning to stop but did not know the warning was for him.
The FAA says Southwest Airlines Flight 147, which had veered off course due to inclement weather, was instructed by an air traffic controller to perform a go-around at LaGuardia.
The FAA is slowing traffic in and out of LaGuardia and Newark airports in New York due to the smoky conditions.
U.S. Transportation Secretary Buttigieg says he spoke directly to Jordan on Tuesday about the thousands of flights that have been canceled this week.
"People were bleeding" as confused and panicked travelers rushed off the plane, a passenger said.
During the flight's taxi-out at LaGuardia, two people and a service dog apparently opened the cabin door and left the plane via the slide.