Lumley, who has presented several travel shows, is among a list of signatories to a letter from pressure group World Animal Protection to Tui Group chief executive Sebastien Ebel.
The others are: Alesha Dixon, Bella Ramsey, Deborah Meaden, Evanna Lynch, Gail Porter, Jane Fallon, Mark Watson, Sarah Jane Morris, Richa Moorjani and Rou Reynolds.
In the letter, Tricia Croasdell, World Animal Protection chief executive, said: “We ask Tui Group listen to marine scientists who agree cetaceans cannot thrive in captivity."
