Southwest Joins Other U.S. Airlines in Banning Emotional Support Animals Cailey Rizzo © Provided by Travel + Leisure Jim Watson/Getty Images Southwest has joined most major U.S. airlines in officially banning emotional support animals from its aircraft cabins. The airline's policy goes into effect on March 1. From then on, Southwest "will accept only trained service dogs for travel and will no longer transport emotional support animals," according to a press release. "We applaud the Department of Transportation's recent ruling that allows us to make these important changes ...