Hiddleston, 36, recalled the collaboration when he appeared on this weekend's edition of The Graham Norton Show.
"He was a great talent, even then," Hiddleston said of Redmayne. "It was an all-boys school, and the great Eddie Redmayne, now Oscar-winning Eddie Redmayne, was playing the female lead. And in A Passage to India, there's an expedition to this cultural landmark known as the Marabar Caves by elephant. And I'm delighted to reveal that I played the front, right leg of the elephant that Eddie Redmayne was riding on. ... We were holding a table with a cushion on top of it, and also a table cloth to cover our faces because our bodies are the elephant."