The All Blacks head coach Ian Foster, assistant coach John Plumtree and midfielders David Havili and Jack Goodhue, both from the Crusaders, have also tested positive.
Foster and Plumtree are isolating at their homes while Havili and Goodhue are not with the team in Auckland
Foster said he's confident in the team's ability to carry on preparing for the first test, full steam ahead.
"We've had a plan for this happening, and it's a great opportunity for the wider coaching group and the senior players, who will be highly motivated to step up."