Last summer, Robertson joined Liverpool from Hull for just £8million.
“He's absolutely magnificent," Dawson told talkSPORT.
“I played with him for a few years at Hull and he has gone on and is getting all the credit he deserves.
“He had to be patient when he went there. [He was] not playing in the first 10 games and then an injury came to [Alberto] Moreno and he got the opportunity. And boy did he take it!
“And people are talking about what he's worth and what he's done, and for Liverpool he has been an absolute steal.
“He got his goal yesterday that he thoroughly deserved.
“And I'm delighted for him as he's a great lad. He came down from Scotland and took time to bed in at Hull, and then gets his big move to Liverpool.
“And what a place to be learning his trade and learning under a top manager who has brought him on leaps and bounds."