Carragher was knocked unconscious during last week's 1-1 draw with Arsenal, while Carroll was substituted during the same game after jarring his knee.
Defensive stalwart Carragher has made good progress but it is not clear whether he will be allowed to feature against Blues, while striker Carroll has not been pushed in training.
"We'll have to wait and see on Carra and Andy before the weekend, but it's only Thursday morning before we've even trained, so we've not got anything conclusive about either," Liverpool boss Dalglish said at his Thursday press conference.
Liverpool's injury problems have allowed the likes of John Flanagan and Jack Robinson to make their mark on the first team and Dalglish has been delighted with the progress of the youngsters at Anfield.
"We're delighted with what they've done and the fact it's been against Man City and Arsenal speaks volumes for them and the way they've been brought up," Dalglish said. "We just hope it continues, but at the same time we're not going to get carried away and we're not going to destroy the boys.
"We've got to be conscious of the fact they are only kids and we've got to know, and look for, any wee signs maybe it's a proper time to give them a rest if they need it. We've got to look after them and be consistent. We've got to keep our feet on the ground."