The Westphalians will receive the Bundesliga 'salad bowl' trophy at the conclusion of Saturday's match against Eintracht Frankfurt at the Westfalenstadion and Klopp wants all 80,000 fans to witness the historic moment from the best vantage point - in the stands.
"Please do not climb over the fences - we have all experienced an exceptional season together and this will end with us receiving the trophy on Saturday," he appealed to the fans.
"Your exemplary behaviour has made a name for Borussia Dortmund throughout the world and let us now enjoy these final, beautiful minutes and the ceremony that we are all looking forward to from the stands."
Dortmund are particularly concerned about the potential of trouble since a home win would condemn visitors Frankfurt to relegation.
"I would have preferred it if we were playing against a club who had nothing at stake," admitted Klopp.
The fans will then be given a chance to see the team and the trophy from close up on Sunday, when they will parade through the city on board an open-top bus.
"On Sunday, we can celebrate among ourselves and really have a party," added Klopp.
"We are really looking forward to the procession and looking forward to seeing 400,000 people lining the streets."
Frankfurt know that there will be at least several hundred people lining the streets on their return home on Saturday night and that their mood will depend on what the team does in Dortmund.
Violent scenes marred the end of their defeat at home to Cologne last weekend and the club have appealed for calm on Saturday.
"Whoever feels that they can let their frustration out with violence, fireworks or any other excesses and whoever feels that this is a justified form of fan culture is clearly in opposition to this, our club," read a statement on the club's website signed by their president Heribert Bruchhagen and chairman Peter Fischer.
"Let us ensure with all of our passion that this does not happen again and that we all enjoy a successful Saturday."
Shinji Kagawa has been included in the Dortmund squad despite not yet being match-fit after recovering from a broken foot.
He will only take to the field as a substitute if the result permits it as Klopp insists it would only be a sporting gesture to the Japan international, whose blistering early-season form helped them charge towards the title.