The 42-year-old actor-musician took home the gold-plated statuette last month for his supporting role as transgender drug addict Rayon in "Dallas Buyers Club." It has sustained a few scrapes since then after circulating among friends.
Leto says his Oscar is "a filthy mess. Everybody was pawing that thing."
He is now promoting "Artifact," a documentary he directed about the battle that his band, 30 Seconds to Mars, had with its record label over its contract and a $30 million lawsuit. The film, available on iTunes, airs Saturday on VH1 and Palladia.