The 23-year-old, who joined the Reds from Chelsea in January, has scored eight goals in his last seven Premier League matches.
"If you look at Daniel Sturridge and what he has, as long as he continues and keeps his fitness, he would be a big threat for any team," Rodgers told reporters. "You'd look at him and people would think he'd maybe be a Brazilian striker with his body physique and his pace and power."
Rodgers went on to add that his centre-forward has the potential to be one of England's leading players at international level.
"England are fortunate to have him because he's a big talent but he knows he needs to be consistent, he needs to get himself the games and the goals. I have got no doubt, though, that he will be a massive asset for England," said Rodgers.
"It's about consistency. Strikers are judged on goals in games and if you judge him on that his record's very good. "It's still very early, he has a lot more to do, but there is no question he's potentially the top English striker. He's got all the tools to be that."
Sturridge is expected to be rested for tomorrow's League Cup tie against Notts County at Anfield.