Reports have suggested that Chelsea, who have already seen one bid rejected, are lining up a player-plus-cash deal involving Nicolas Anelka.
But, although Torres has handed in a transfer request, Dalglish insists the club's determination to keep hold of him has not wavered.
"Regards Fernando, it's the same as what the club statement was two or three days ago," he said. "We'll stick to that."
Sunday's statement read: "Fernando is under a long-term contract and the club expects him to honour the commitment he made to Liverpool FC and its supporters when he signed the agreement."
Dalglish remained coy about Liverpool's chances of making a deadline-day transfer to supplement the imminent arrival of Luis Suarez for £22.8 million from Ajax - although he would not be drawn on names.
"I would say there's as good a chance of us getting someone else in as there is in someone going out.
"We don't want to insult, undermine or anything else anyone else who is another club's player. We don't want to do our business that way."
Dalglish confirmed that Jamie Carragher is available for selection for the midweek Premier League clash at home to Stoke, while Daniel Ayala has joined Derby on loan.