The Spaniard, who took over as caretaker at Stamford Bridge after Roberto Di Matteo was sacked last week, stated that he would never manager Chelsea while criticizing Blues fans during his stint at Anfield in the mid-2000s.
Chairman of the Chelsea Supporters' Group, Trizia Fiorellino, feels that Benitez needs to at least acknowledge his words to try and mend the rift that has already been made between he and the fans.
"I think (an apology) would help for some fans. Even an acceptance of what was said would be a start," said Fiorellino.
"He's said he was trying to defend his club at the time but (then Chelsea boss Jose) Mourinho was the master of that and I don't think he ever directly ridiculed supporters of another club.
"It's quite a thing to try to undo but an acceptance could definitely bring some people back on board. I do think he's a tough sell, though."