The striker spent the majority of last season injured, and missed the beginning of this season as he recovered from surgery, but has recently returned to the Reds’ starting line up.
He has been an instant hit, with two finely taken goals in a 3-2 win over Aston Villa on Saturday showing just what his side have been missing in his absence.
And as far as Carragher is concerned, only City's Argentine hit-man is a better striker than Sturridge out of those currently operating in the English top-flight.
“He’s the icing on the cake Sturridge, the one who can produce that class finish,” he told Sky Sports.
“If Liverpool can get him fully fit and firing, there’s only Aguero in the league that I’d say is a better striker than him. If Sturridge is at his best, if he can stay fit, if you look around the top teams I’d say there’s only Aguero who is better.”
Fitness the issue for Sturridge but the quality is there
Fitness is the principal point in this argument, with Sturridge so far having failed to prove that he can remain fit for a consistent period of time during his time at Anfield.
There is no denying that he is a quality finisher, though, as he has shown when Luis Suarez was at the club and again with his double against Villa. A big point he will have to prove is whether he can do it without the quality that the Uruguayan brought to the side.
If he can, then there is no denying that he is up there with the best forwards in the Premier League. For now, with the likes of Diego Costa to take into consideration, Carragher's argument must still be backed up on the field.