Liverpool stretched their unbeaten run to seven matches thanks to three strikes from the 23-year-old in today's 3-1 win at Craven Cottage.
Given his recent employment with Fulham's rivals Chelsea, the Cottagers fans aimed abuse at the England striker throughout today's match but he responded in style, first equalising Dimitar
Berbatov's opener with a brilliant finish from Andre Wisdom's long pass.
He then put Liverpool 2-1 up with an opportunistic finish before rounding off the win with a clever chip over Mark Schwarzer after he latched on to Philippe Coutinho's pass.
The striker has now scored 11 goals in the 15 games he has played since moving to Anfield in January, much to his manager's delight.
"Daniel was outstanding. He scored three goals and he could have had maybe six," Rodgers said.
"I think that's his 11th goal in 15 games since joining Liverpool so he has made a great start to his career.
"If he keeps improving, keeps training well, then I think he will have an outstanding couple of years for us.
"He's not perfect. He should have squared one when he was through. But he was looking for his hat-trick, he's a goalscorer, and to be greedy you've got to be good. He's an outstanding player."
Sturridge struggled to break in to Chelsea's first-team following his progression through the youth ranks at Manchester City, where he also did not get much game time.
His game has developed greatly since he moved to Anfield, however, particularly in recent weeks when he has played the main striker's role in the absence of the suspended Luis Suarez.
"I just think it's always been a case of opportunity with Daniel," Rodgers added.
"It was always going to be difficult for him at Chelsea. They had Didier Drogba and he was one of the best in the game. He needed a run of games and he's got that with us.
"People have said that he is stepping in really well for Luis, but I didn't bring him in to be a substitute. I brought him in to play at Liverpool because I believe he can get goals.
"What we have seen without Luis is that we've still got goals in the team."
Liverpool only really sparked in to life in the second period after a drab opening 45 minutes which ended with the scores at 1-1.
Rodgers shuffled his team around after the restart, shifting from an experimental 3-5-2 to his usual 4-4-2 system.
The change allowed the excellent Coutinho more licence to venture forward and pick out Sturridge, whose pace and power troubled Brede Hangeland and Aaron Hughes all afternoon.
Fulham manager Martin Jol admitted his team were second best, but he felt his team should have had a penalty in the second half when Bryan Ruiz's shot struck Lucas' hand in the Liverpool box.
"It should have been a penalty," the Dutchman said.
"(The game) was frustrating. Normally if we score we win games. We never seem to win games after being down."
Fulham reached the 40-point mark four weeks ago, but they have lost their last five games.
Although the west London club are safe, Jol admits things are not looking good for his squad regarding next season.
"If you lose seven or eight players of course you need five or six (to come in)," he said.
"Hopefully you get players in who could be good and strengthen us. If not you have a problem."