Liverpool manager Jurgen Klopp asked fans to behave ahead of Tuesday night's Champions League semifinal against Roma at Anfield.
Fans damaged Manchester City's team bus ahead of the quarterfinal in Liverpool earlier this month and Merseyside Police have said they will crack down on fan disturbances on Tuesday as a result.
"In the stadium, do it again and better," Klopp said at a news conference on Monday. "Out of the stadium, please show the respect we have to show. This is such a fantastic football club, an outstanding football family, known for a fantastic atmosphere all over the world. We don't need to throw whatever at the bus of the opponents.
"If we can do what we did creating an atmosphere in front of the stadium, yeah, let's do it. I'm a big fan of that. But show our opponents the respect they deserve."
Klopp said that Liverpool and Roma are "only opponents on the pitch" and that attitude should not extend further.
"Everybody knows how wonderful Rome is, but not all the people know how wonderful Liverpool is," Klopp said. "But we can show how wonderful Liverpool people are and the city and the spirit of the club.
"We can show that in 20 minutes before the game and then the whole world knows it. I really think that all the people who are with [Liverpool] deserve that we show that face."
City's bus was badly damaged and players and coaches needed to take another back to Manchester after the game as a result.
"As always, my officers will be dealing with the fans as they would expect to be treated themselves," police chief superintendent Dave Charnock said in a statement. "Our policing style will be firm, fair and friendly, but we will take action where necessary against individuals who may seek to cause problems or misbehave and spoil the evening for the majority of supporters."
Liverpool City Council has provided mobile CCTV to assist police efforts, and specially trained dogs will be on hand to detect pyrotechnics such as fireworks and flares.
"While recognising that some supporters feel they can add to the atmosphere of the occasion, the use of flares and other pyrotechnics at and around football matches is a concern," Charnock said. "We fully support the club in working to eradicate this dangerous and reckless practice and would ask that supporters work with us."
Information from ESPN FC Liverpool correspondent Glenn Price and the Press Association was used in this report.