The 22-year old is slowly regaining fitness after a long absence with a thigh injury he sustained when at Newcastle United and is warming to the task for both club and country.
Carroll has appeared in the past four Reds matches and has improved each time which prepared him for his debut England goal on Tuesday night.
But Dalglish knows too well that he will not push the towering centre forward and would rather take a softly, slowly approach.
"Andy has a bit to go to get himself up to match fitness but he came in here for five and a half years, not a few months," he said.
"We won't put any timescale on it and we'll take it as it comes.
"The 60 minutes he got for England was very helpful in his recuperation and his fight to try to get back to full fitness.
"We know what Andy Carroll is about and we know what his assets are," he added. "Sometimes when you're struggling a bit, it's a great asset to have but we've got to pick and choose our moments.
"It's up to us to get to know Andy, and Andy to get to know us.
"I don't think we've done too badly in the game and a bit he's played for us (in the Barclays Premier League). We were better the second time than we were the first.