"There's been rough seas so we would suspect it just needs a rest for a minute and it will move on," he said.
"It looks to be in good condition except for the bite marks, there's no active bleeding or anything like that.
"There's no real reason to be concerned, other than to make sure that dogs and people stay away and let it have a rest."
DOC said leopard seals dispersed northwards into the Southern Ocean during autumn and winter, ocasionally visiting New Zealand.
Lundquist said they turned up in Wellington a couple of times a year.
There was also a humpback whale spotted in the Wellington Harbour on Tuesday morning, and DOC are advising that people keep their distance.