The 23-year-old came off the bench at Old Trafford on Sunday to re-invigorate a lacklustre performance and he scored his second in as many matches since arriving from Chelsea, also missing the chance to snatch a late equaliser.
Prior to his introduction at half-time, Liverpool had endured a dismal time in which they showed none of the fight or quality required in a game against their arch-rivals, as United eased into a 2-0 lead through Robin van Persie and Nemanja Vidic.
But Sturridge's goal, following in a Steven Gerrard shot which David de Gea could only parry, lifted the side and also displayed a predatory instinct the Reds have been lacking for 18 months.
"I just think this is a boy who can be a real top striker in this country and I think he will be scoring many goals for Liverpool," said Rodgers.
"You have seen from a half appearance yesterday and 55 last weekend (when he scored on his debut against Mansfield in the FA Cup) that this boy is a goalscorer and what he needed was an opportunity.
"He got one goal (against United) and was unlucky with a couple of opportunities. He is going to be a terrific signing for us."