The midfielder cemented his legacy at the Reds by captaining them to their sixth Champions League crown last season.
Dalglish told the Hat-Trick Podcast: "It was difficult for him at the start because he's a young boy coming in. But, by the way, it shows you the power of strength mentally he is, and actually how talented he is.
"He came through at the beginning and he's been fantastic for the football club, not just on the pitch, but off the pitch. [As a] leader, a fantastic example. In the dressing room, he'll be strong.
"There's more that goes on with Jordan than what you actually see, but what you see on the football pitch is really exciting."