Sturridge missed the weekend's win over Arsenal but Liverpool proved they have enough firepower as they put four past Arsenal.
Daniel Sturridge scores the first goal for Liverpool
Sturridge has been struck by injuries for the past two years, with many suggesting he has been a big miss for the Reds when injuries have occurred.
However, following a thrilling 4-3 win over Arsenal on the opening day of the season at the Emirates Stadium - which Sturridge missed because of a hip problem - Aldridge feels Liverpool can cope whenever the forward is sidelined.
Liverpool's Adam Lallana celebrates after the match
He wrote in his Liverpool Echo column: "For the first time, we're not dependant on the lad. If he can get fit, then great, we'll have him in the squad and he'll score goals, no question.
"But if he's not, then look at what we have. We've just scored four at Arsenal, we scored four against Barcelona, we scored four last season at Manchester City, four against Dortmund. There's firepower in this team, and lots of it.
"Realistically, you could see Sturridge, (Roberto) Firmino, (Sadio) Mane, (Philippe) Coutinho and (Divock) Origi all hitting double figures this season. And Lallana should be aiming for that too."
The fact Liverpool were able to blow Arsenal away during a period of the game like they did is very encouraging, and Sturridge may see there is something of a burden lifted off his shoulders even though the forward is desperate to be involved.
Liverpool's Sadio Mane (hidden) celebrates scoring their fourth goal with manager Juergen Klopp and teammates
One of the things Jurgen Klopp wanted to address this summer was getting more pace into the side and to try and get more goals from other areas of the side.
Adam Lallana has often been criticised for his lack of goals but got off the mark at the first time of asking, Mane struck on his debut and provides both of the qualities that Klopp was looking for, while everyone continues to expect more from Coutinho - and he has two goals to his name already.
Both Origi and Firmino managed to get double figures last season and Sturridge will be aiming to both get more game time this term, and more goals.
Instead of reliance, there is now real competition for Sturridge to get back into the side which can only be good news for Liverpool. They have a natural goalscorer at their disposal and if he isn't a guaranteed starter when he's fit, then it means the side must have some real firepower.
Liverpool's Philippe Coutinho scores their third goal