Sturridge has got Liverpool's season off to a fine start with the match-winning goals in both their opening Barclays Premier League games against Stoke and Aston Villa.
It continues the positive impression the 24-year-old has made since his B£12million signing from Chelsea in January.
Sturridge scored 11 goals in 16 appearances for the Reds last season and, as he reaches full fitness after an ankle problem in the summer, Rodgers believes he is only going to get better.
Rodgers said: "The frightening thing is that he has still got a bit to go in terms of his fitness.
"He only joined the group in the last few weeks of pre-season - he is still getting up to speed. I think once he is fully fit then he will be even better.
"It is a mark of how hard he has worked in a short period of time.
"His goals-games record here is incredible in the short period of time he has been here.
"If you assess the world's great strikers - the pace and power they have, the touch, good in the air, two good feet, super quick - then he possesses all of that.
"There are areas to improve in his game but we have released the pressure from him.
"All we demand is he works his socks off. When he does that all his natural talent comes out, and when that comes out there are not too many better."
England manager Roy Hodgson is due to name his squad for next month's World Cup qualifiers against Moldova and Ukraine on Tuesday and Rodgers fully expects Sturridge to be included.
"I would think so," he said. "I'm sure Roy will have noted his performances."
Rodgers is expected to make changes to his side for their midweek Capital One Cup second-round tie against Notts County at Anfield.
The Reds host Manchester United on Sunday and Rodgers is likely to utilise the depth of his squad, but he insists the cup competition is of great importance.
He said: "Our focus is, we are concentrating only on the next game and for us it is Notts County.
"We will treat them with the same respect as we will Manchester United. We want to do well in the cup competitions this year.
"It will be an opportunity for some players, who maybe haven't featured, to get a game. But the core of our team will very much be there. We will have a strong side out."
County have started the season poorly, collecting just one point in their opening four League One games.
Their only victory came against League Two Fleetwood in the previous round of the cup, but Rodgers is paying no attention to the formbook.
He said: "Chris Kiwomya has gone in, his first job, and has picked up the baton.
"Even though they haven't had a great start, with three losses and a draw, it is something I am sure they will pick up because they do have some good players.
"We will always respect every opponent we play, no matter what division they are from.
"Our focus is on getting the job done and getting to the next round."
After the game, Rodgers' focus will not only switch to United, but to the transfer market.
The Northern Irishman remains keen to bolster his squad before next Monday's transfer deadline.
He indicated last week that he was looking for another central defender, while a fresh report has linked the Reds with Chelsea forward Victor Moses.
Rodgers said: "We have got targets. There is speculation around many names and while the window is open we will continue to look to improve the squad.
"We will hopefully come out the back of it with a stronger group.
"The group I have at the moment has been doing brilliantly and I have every faith, even if we didn't get any more in, that these players will do really well this season.
"But the idea is to strengthen it that little bit more and hopefully we can do that."