Dalglish was pleased with the performance of Carroll, after two substitute appearances, even if the striker could not make the breakthrough.
"Carroll stayed on longer than we hoped he would have to stay on but necessity meant he had to stay on the pitch because we were looking for a goal," the Scot said.
"Overall we are pleased to see him back on the pitch and we were not disappointed with his contribution in any way.
"It was a bit unfortunate he did not score a goal; he put one header wide in the first half and then had one stopped by Dirk Kuyt in the second.
"Considering it was his first start I think he can be very pleased with how he played."