"But Zombi very gently nudges their hand away, so they spend a little time grooming her so they can sneak a touch of the little baby."
The infant's sex isn't known yet and DNA tests will be needed to identify which of the zoo's four males is the father.
However, alpha male Tsotsi is the chief suspect.
Zombi and three other females came to the zoo from a Netherlands zoo in November 2010.
"Mum's feeding and drinking really well, she's holding the baby perfectly ...she's grooming it and being very attentive, and little bub looks really bright and in good condition,'' Ms Hanley said.
Zombi won't breed for at least another five years and her new offspring will stay close to her for about 10 years.
"Chimps are an endangered species so it's great to contribute back to the population and also, genetically, this group is quite important."
The baby has also made its public debut, sitting nicely on Zombi's belly.
A competition will probably be held to find him or her a name.
- AAP