Reds fans have dedicated a chant once reserved for Dalglish and another Liverpool great Robbie Fowler to Torres, and he hopes by the time his career at Anfield is over he will be held in similar high regard.
"To be linked with players like that gives me pride and great satisfaction," he told liverpoolfc.tv.
"They were some of the greatest players in the history of Liverpool Football Club. I have just arrived and still have a long way to go, but I am proud of the association.
"These players, Rush and Dalglish, they defined an era for Liverpool by scoring so many goals.
"It's not just for their sake that I shy away from these comparisons, it's for me too. I have only just arrived here. Many years down the line when I eventually leave Liverpool I would like to be held in the same affection as these players but I've got a long way to go, so I'll leave them on their pedestal at the moment."