If the penguin was harassed, Doc would move it to a secret location away from people.
Disturbing wildlife, such as taking selfies with it, was an offence under the Wildlife Act.
He urged people to refrain from climbing over the wall to see the penguin.
"It's a great opportunity for people to view the penguin from a distance - a lot of people are getting a pleasure out of that - so respect that distance and don't climb over the wall, or go in the immediate vicinity where the penguin has decided to get some peace and quiet."
Doc had not received any official complaints about people bothering the penguin, he said.