Australian model (1996). In less than a year and a half in the fashion industry, Barrett worked with many of the best fashion designers and simultaneously captured the attention of photographers Bruce Weber and Steven Klein who photographed him for Vogue Paris, Vogue Homme, V Magazine, Vogue Italia and V Man respectively. Mario Testino recruited Barrett for his well-known photo series "Towel Series" and for a publication in Vogue Italia.

David Sims selected the model for another editorial in Vogue Paris, as well as for a series of Gap campaign images. Other advertising works he has made include firms such as Tom Ford, Ralph Lauren, Zadig & Voltaire, Versace, y Ermanno Scervino by Peter Lindbergh. He has walked for Versace, Balmain, Moschino, Isabel Marant, Dolce & Gabbana, Philipp Plein and Calvin Klein, among others.

The Australian model grew professionally by starring in the popular 1 Million Fragrance campaign by Paco Rabanne. In addition to being a model, Jordan has been introduced to the world of photography, although from the other side. Barrett photographed Emily Ratajkowski for Paper Magazine in 2018. Jordan is currently in the Top 50 and Money rankings of the Models.com website.