Victoria Police said it was referred the matter from the Department of Health and Human Services on October 14, and would assess it to determine whether any criminal offences had been committed.
Meanwhile Victoria's Chief Health Officer Brett Sutton said health authorities were working hard to verify exactly where the Melbourne man travelled during his trip to regional Victoria.
“We’ll have to use every tool at our disposal,” Prof Sutton said.
“If we have to interrogate phones for GPS information, those powers are available.”
More details have emerged about the man's movements before and after his trip to Shepparton two weeks ago, which he didn't disclose to health authorities until Tuesday.
The man travelled through Kilmore, Benalla and Shepparton on September 29 and 30, before going into isolation when arriving home on September 30 after discovering he was a close contact of a case linked to the Chadstone butcher outbreak.
Victoria's Deputy Chief Health Officer Allen Cheng emphasised the man didn't know he was infectious before he travelled.
But there are still many questions surrounding the index case, with Prof Cheng unsure where the person stayed overnight before returning to Melbourne.
While he understood the man travelled to Kilmore first, then Shepparton, Benalla and back to Melbourne, he wasn't certain of the order.
He also wasn't sure why the man initially concealed his trip to Shepparton, but highlighted interviews with contact tracers were a "safe space".
“It's like a consultation with a doctor,” Prof Cheng said.
“We just want to know what is relevant to controlling this infection.”
While Victorian Premier Daniel Andrews said the index case had a permit to travel to regional Victoria, he condemned the man for breaching restrictions during his trip.
“The restrictions in Melbourne should travel with you, and they did not with this person,” he said.
“He's not allowed to . . . sit in a cafe for three hours or go and attend a number of other sites.”
Mr Andrews clarified the list of high-risk exposure sites for Shepparton were not necessarily where the man travelled.
“They can be (from) other people he's come into contact with,” he said.
Prof Sutton said authorities would consider requesting work logs and phone GPS records in future to ensure positive cases were telling the truth.
Meanwhile media has reported the man who is the index case for both the Shepparton and Kilmore cluster is reportedly devastated by the situation.
One of the confirmed cases from the Kilmore area is believed to be the man's elderly father.
Media were told the man was "suffering so much guilt" over causing his father to become sick.
