The zoo is currently holding a public meeting on Monday to decide whether or not to move elephants to a new enclosure.
While the public will be allowed to observe and pose with elephants, zoo officials said that it would be necessary to have an animal that is in good health and able to safely interact with other animals.
“We are in a very difficult time in the zoo, and we cannot afford to lose any of our great animals,” said George Boudreaux, president of the California-based Association of Zoos and Aquariums, in a statement.
“I am urging you to join me in supporting elephants in the wild.”
Zoo officials said the elephants have been there for many years and have received “positive feedback from the public” about their care.
They also said that there have been “no major problems with the animals” during their stay at the facility.
They are currently scheduled to leave on Friday for a three-month training program in Kenya.
The elephants are among a growing number of animals at the San Diego Zoo that are experiencing a declining number of visitors.
The zoo recently announced it would close after 10 years of operation.