Rafael Benitez and Neil Warnock will be asked to warn their players not to provoke the supporters during the clash between Chelsea and Leeds.
The League Cup quarter-final clash at Elland Road is the first time the two rivals clubs have met since May 2004, with police recruiting police intelligence officers after labelling the game as high risk.
West Yorkshire Police chief superintendent Paul Money said: "We want both sets of fans to get behind their teams and enjoy the football.
"We want the focus of the day to be the action on the pitch and for it not to be overshadowed by violence or disorder.
"I will also ask the managers of both teams to speak to the players and ask them to avoid doing anything which may antagonise supporters of the opposition team.
"Experienced football intelligence officers from the Metropolitan Police will be working alongside West Yorkshire officers to identify any troublemakers.
"The police will apply for football banning orders to be imposed on anyone convicted of disorder in connection with the game."
Chelsea's away allocation has been cut from 5,000 to a more manageable 3,000 for the game.
Leeds manager Warnock has called on both sets of fans to get behind their respective teams in a sensible manner.
"I'm sure the fans will lift the decibels and create a tremendous atmosphere," Warnock told the club's website.
"It goes without saying while I want the fans to be loud we don't want any of the bad behaviour that we have seen from different sets of fans around the country this season and I ask everyone – both sets of fans – to get behind their own team without any of the unwanted problems."
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