The 22-year-old arrived at the Emirates in a £15 million deal just a week before his 18th birthday, but the ex-Southampton winger has had a stop-start career in North London so far.
Emre Can could well be an important part of Liverpool's side this season.
The striker has not played for his country since 2012.
The Owls got their Championship season off to a promising start with a win.
A miscued kick by goalkeeper Pierluigi Gollini gifted Wednesday's Fernando Forestieri a late winner in Sunday's Championship curtain-raiser at Hillsborough.
The England winger was involved in the Eagles' 3-1 win over La Liga heavyweights Valencia at Selhurst Park on Saturday.
Sturridge missed the weekend's friendlies with a hip problem, and jurgen Klopp said he had 'no idea' whether he will be fit.
Aston Villa lost their Championship opener yesterday, going down 1-0 to Sheffield Wednesday.
The new signing proved to be the Hoops' hero as they bagged a win in their opening Scottish Premiership fixture.
Newcastle United lost their opening game in the Championship but Hayden is pretty calm after their setback.