The England international, who joined the Reds at the start of the month, has netted three goals in his first three games for the Merseysiders.
Hamann, who was in the Manchester City side when Sturridge made his debut for the club six years ago, is adamant that the 23-year-old does not have a point to prove after a stuttering Chelsea career.
"I could see back then what a talent he was," said Hamann. "Everyone at City was talking about Sturridge as an exciting young player who had a big future ahead of him. When he came into the first-team squad, he made a big impression. He had great pace, great feet and could finish.
"I certainly wouldn't say he has failed at the clubs he's been at so far. What I like is that he has said all the right things. He clearly wants to be here and is hungry to do well.
"He appreciates the opportunity he has been given and seems determined to take it. It looks like his head and his heart are here. Now he has a manager in Brendan Rodgers who believes in him and the great thing for Liverpool is that Sturridge is still young. He could prove to be a tremendous signing."
Liverpool travel to Oldham Athletic this Sunday in the FA Cup.