Sunday's match comes around seven weeks after a Serie A meeting between the two neighbours was preceded by violent clashes in the streets of Rome in which several people were stabbed.
"It will be a big party: there are lots of people who want to come to the stadium hoping to celebrate a win but who will leave their weapons and knives at home," De Rossi, who was born in the city and is a key player for Roma, told reporters.
"We know that tension is high and we have to be the first to not go over the top on the pitch because that could spark unwanted incidents," added De Rossi, who was sent off in November's 3-2 derby defeat after punching Lazio midfielder Stefano Mauri in the face.
"Everyone, but above all me being Roman, wants to see maturity from everyone in the city."
The kick-off for Sunday's match at the clubs' shared Stadio Olimpico, which offers both teams a last chance to qualify for the Europa League, was brought forward from 9pm local time to 6pm to reduce the risk of trouble and 2,000 police will be on duty.
