"Yeah. That's why I'm at my house," the student said.
"So you have other people here, and you're positive for Covid? You see the problem? How many other people have Covid?" the officer asked.
"That's what we're trying to prevent, man. We're trying to keep this town open," the officer said.
"I know. That's why I'm staying home," the student claimed.
The Daily Mail reported six people, five others who lived in the house and the student who tested positive, were cited a "civil penalty".
Although there are no criminal charges, they were hit with a US$500 fine.
Cincinnati.com said one of the residents went to the police after the incident and tied to press trespassing charges against those who did not live there and attended the party.
The police report stated the resident claimed he had finished a coronavirus quarantine on September 4 and did not participate in Saturday's party.
The Daily Mail reported a second resident claimed to be sick in bed and did not partake in the party, according to the report.
Police said the university the partygoers attend would be made aware of the incident.
"We do not know if anybody else at that party was aware of the Covid-positive residents because some of them left while the officer was there" Lt. Lara Fening told Local 12.
"We want to stay safe, we want to be healthy, we want everyone around us to be healthy, we want this town to be thriving, we don't want this town to be shut down again. We want the underclassmen to come back."