There will be a period of silence for Queen Elizabeth II before Tuesday's game between the Reds and the Dutch team.
The survivors support alliance is worried that a backlash would lead to more abuse over the stadium disaster.
Before last season's FA Cup final at Wembley, fans of the other team booed Abide With Me and God Save the Queen.
There will be a period of silence following the death of the queen.
In a statement on Twitter, the group said: "Everyone attending tonight's match, please show respect and observe the minute's silence.
You might think that the backlash won't affect you, but it will affect us and family members.
Respect doesn't cost anything and that goes both ways.
Reds legend Sir Kenny Dalglish responded: "Brilliantly put. I hope everybody at Anfield can respect these wishes tonight."
The manager said he was confident fans would respect the period of silence.
When the club hosted Manchester United last season, there was respect shown to the player by the fans, and there should be no concern about fan behavior.
There are a lot of examples where people respected one another.
The full force of the law was supposed to be used to stop vile chants about the tragedy.
There was a rise in the singing of songs about the tragedy where 97 fans lost their lives as a result of a crush at an FA Cup semi- final.
The jury at the inquest ruled that the victims were killed in a way that was not legally justified.
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