Carroll woke up on Wednesday morning to reports linking him with a return to Newcastle, a side he left 12 months ago in a £35m deal. The England striker's form has been disappointing since moving to Anfield, but his agent said Carroll was happy and Newcastle played down talk of a bid.
The forward put in a fine shift as Liverpool beat Manchester City in the Carling Cup on Wednesday, and following the game Dalglish took a swipe at the reports.
"I am worried about the people that invent them," he said. "You have absolutely no foundation whatsoever (for the stories).
"I don't need to justify what is in the paper. I have stood up - and always will stand up - for the players."
Turning the argument around on journalists at his post-match press conference after the 1-0 Carling Cup semi-final first leg win over City, Dalglish said: "You justify your profession and you justify the story."