The claim is true because multiple reliable sources confirm that U.S. Airlines have warned Congress that a government shutdown at midnight would force air traffic controllers and TSA employees to work without pay, potentially causing flight delays and disruptions.
U.S. airlines are warning Congress that if the government shuts down at midnight, flights could be delayed because air traffic controllers and Transportation Security Administration employees would be required to work without pay.

US government shutdown may hit travel as airlines issue big warning amid funding dispute; what is a government shutdown and when does it happen? - The Economic Times
Source: economictimes.indiatimes.com
Key Evidence
Airlines warn that air traffic controllers and TSA officers would be forced to work without pay during a shutdown.
economictimes.indiatimes.comeconomictimes.indiatimes.comUS government shutdown may hit travel as airlines issue big warning amid funding...
reuters.comreuters.comAirlines warn US government shutdown may slow flights
This scenario could slow flights and cause delays due to staffing shortages and halted FAA functions.
economictimes.indiatimes.comeconomictimes.indiatimes.comAirlines warn US government shutdown may slow flights
yahoo.comyahoo.comMajor airlines warn government funding lapse could strain aviation, slow flights+1 more
Past shutdowns have demonstrated similar impacts on aviation operations.
reuters.comreuters.comAirlines warn US government shutdown may slow flights
nytimes.comnytimes.comWhat Travelers Need to Know About the Possible Government Shutdown
What the Evidence Shows
Numerous reputable news outlets, including Reuters, The New York Times, CBS News, and The Economic Times, report that U.S. Airlines have issued warnings to Congress about the operational impacts of a federal government shutdown starting at midnight. These warnings emphasize that essential aviation personnel such as air traffic controllers and Transportation Security Administration (TSA) employees would be required to continue working without pay.
This situation is expected to strain the aviation system by slowing flights, increasing delays, and halting certain Federal Aviation Administration (FAA) functions like hiring and training. Historical precedent from the 2019 shutdown supports these concerns, as similar conditions then led to significant delays and staffing challenges. The sources consistently highlight that while these workers must work without pay during a shutdown, the lack of funding disrupts overall efficiency and safety operations in air travel.