Avantidrome Scott Gemmill said the person was tested this morning and the results are expected back between 24 hours and five days.
The centre, which was today being disinfected, would remain closed until they had the person's tests results back.
He said it remained unclear what time the person visited the facility but he confirmed they did not bike on the track, use the gym or sit in the public gallery.
It was likely one of the centre's meeting rooms was used. Meeting rooms are on the first and second floor.
The person used High Performance Sport NZ's [HSPNZ] facility at the velodrome.
A spokesman for HPSNZ confirmed its high performance hub was closed until further notice.
"This decision was made due to an individual who visited the facility this week, later reporting symptoms broadly associated with Covid-19.
"Home of Cycling Charitable Trust (operators of the Avantidrome) made the decision to close the Avantidrome temporarily as a precaution and HPSNZ fully supports that decision.
"We are working closely with the Trust and with Cycling New Zealand to take all necessary precautions, including isolating those who had direct contact with the individual in question and deep cleaning the HPSNZ facility."
HPSNZ was also working closely with Cycling New Zealand to minimise the impact of the incident on the team's preparations for the Tokyo Olympic and Paralympic Games.
Meanwhile, a Hamilton City Council worker is also being tested for Covid-19.
The staffer is in self-isolation while being tested. A council spokesman wouldn't comment on the case, citing privacy, but the Herald understands the man had been overseas and returned to work last week before showing flu-like symptoms.
The council, which employs more than 1000 staff across its 27 business units, this afternoon confirmed the person's test result was not back yet.
The tests were discovered after the Ministry of Health this afternoon confirmed there were eight new Covid-19 cases, including two in the Waikato.
There are other new cases in Invercargill and Dunedin, and four in Auckland.
As a precautionary measure the Avantidrome will be closed until further notice due to concerns that someone displaying...
Posted by Avantidrome on Tuesday, 17 March 2020
Director-General of Health Dr Ashley Bloomfield understood all eight new cases were Kiwis returning from overseas.
All those he had details on had been in self-isolation.
They were aware of the symptoms and did the right thing and became symptomatic, he said.
All eight, as well as a Logan Park student from Dunedin who tested positive, had their infections detected yesterday - 620 tests were processed yesterday.
Asked if the increase in cases proved NZ should have been testing more people, Bloomfield said instead it was the case that more people coming from overseas were coming from Covid-19 hotspots.
Some had come from Europe, some from Australia and some from the United States.
