The Liverpool striker has been linked with an exit this summer.
There are major questions about the striker’s future at the club at present after he has found himself on the bench in recent months.
First he was dropped in favour of Divock Origi for the clashes with Borussia Dortmund in the Europa League.
That continued against Villarreal last week as Klopp opted for Roberto Firmino ahead of Sturridge for the semi final against Villarreal.
Both instances have led many to wonder if he is set for a summer exit, and Murphy says that he expects the striker to leave.
“I don’t think he’s 100% convinced by Sturridge’s work ethic,” he told talkSPORT.
“I don’t think he’s got a question mark over his ability, but does he fit into that philosophy and will he be happy playing some times and not others?”
“I’d be surprised [if he stayed] and I say that not because Liverpool won’t want someone of his ability, but [because] if you want to be a top striker you have to play every week.”
The future of Daniel Sturridge appears to be shaping up to be one of the big transfer stories this summer.
If Liverpool do decide to sell, there is likely to be a number of clubs interested in his signature given his undeniable quality.
The Reds though, may be loathe to sell him and watch him flourish elsewhere, which could make an exit unlikely despite it looking like a certainty at this moment in time.