The panda, born July 29, weighs just under 5 pounds - which is one pound more than he weighed at his exam last week. Vets say the cub's eyes are almost fully open, meaning he can see but his vision is likely limited to light and shadows.
The panda's mom, Bai Yun, has started taking the cub out of their den to snack on bamboo.
The zoo follows the Chinese cultural tradition of naming the panda after it is 100 days old. The San Diego Zoo Global Wildlife Conservancy is taking name suggestions for the boy cub on its website, www.sandiegozooglobal.org.
The names must be submitted in Chinese pinyin, which is the official system to transcribe Chinese characters into Latin script, and the significance of the name must be included in the submission. The zoo will take submissions until Sept. 24.
The cub's name will be announced in November.
City News Service contributed to this report.