Asked about the content of the police discussion, O’Neill said: “They did not specifically mention that, but I would assume one consideration would be what happens on the pitch, because incidents can escalate.
“You do not want any fights to begin with. You also do not want excessive celebrations or behaviour of that kind.
“But I think it is about conduct in the context of what has happened in recent fixtures. I do not think the conversation with police would have taken place if those recent events had not been raised with us.”
Celtic have won the past three derbies, following Rangers’ 3-1 league victory over them at Celtic Park in January. They are also five points clear in the Premiership after only six matches of the new campaign.
On the potential impact of having no away supporters at the match, O’Neill added: “I think the game almost takes care of itself in that respect.
“It will feel strange in many ways not to have any away fans in our area. In the past, I always felt that gave you a little comfort.
“I am both nervous and excited about it.”
Rangers have faced criticism from their own supporters after a difficult start to the season under new manager Derek McInnes, although the hosts have won four consecutive matches.
“I suppose if you go ahead in the game, that can make them anxious,” O’Neill said.
“But talking about taking the lead and actually doing it are very different things. The crowd will be right behind their team, as you would expect.
“We will focus on doing our best. We know we are facing a very good team and a crowd that can make a difference, and I would be delighted if we had something to celebrate during the match.”