The England international’s situation at Anfield has been under the spotlight since Klopp’s appointment as the Reds’ new manager 12 months ago.
The striker has struggled for form and fitness in recent seasons at Anfield and has been limited to just three Premier League starts for the Reds this season heading into Monday night’s showdown with Manchester United at Anfield.
Sturridge has made a further three appearances from the bench but is yet to find the net in the Premier League for the Reds this term.
And former Liverpool defender Carragher does not believe that Sturridge would be included in Klopp’s first-choice starting line-up if he had all of his players available for selection.
Speaking in an interview with talkSPORT, Carragher said: “Possibly not [Sturridge does not have a long-term future at Anfield].
“Because I think when Jurgen Klopp picks his best team – when everyone’s fit – I don’t think Sturridge is in it, at this moment. I think Daniel may play on Monday because of a few injuries and Firmino may play out wide and Coutinho may play central, that was the situation at Swansea and Liverpool won.
“But when everyone’s fit and firing, I don’t think he quite gets in the eleven. When he doesn’t, I think it’s [been] proven at the end of last season at times, and even this season on the back of a great win at Chelsea.
“I think there was a home game a week later and he wasn’t involved – having been part of a victory at Chelsea – I think that shows that [Sturridge is not in Klopp’s best team].
“I think Daniel’s goal scoring record alone is fantastic – he would walk into most teams – but Jurgen Klopp wants a lot more than just scoring goals from his attacking players. He wants work rate, players coming back to help the team. I think Firmino fits that bill for him at this moment in that central role.”
Liverpool are currently three points ahead of Manchester United heading into Monday’s crunch clash on Merseyside.
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