Sturridge has inevitably been linked with a move away from Anfield this summer due to his lack of playing time under Jurgen Klopp.
Ward spent the 2016/17 season on loan at then-Championship side Huddersfield Town, and Terriers boss David Wagner was keen to bring him back last season, but the deal never materialised.
However, Sturridge says pre-season is going to plan and he hopes to force his way back into Klopp's plans.
"I see myself staying at Liverpool, hopefully being part of the team week in, week out", he told the club's website.
Seeing Curtis Jones play this pre-season makes me less anxious about Ox being out for the season and the media reporting we aren't looking for a new midfielder. He has looked good throughout the pre-season, so far.
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Though the Englishman will have a hard task breaking into the Liverpool side come the start of the Premier League season with their front three of Mohamed Salah, Sadio Mane and Roberto Firmino having performed so spectacularly last term.
It may be too much of a leap to suggest Jones is in line for regular first team chances this season, but he is making a name for himself and could get some minutes in the cup.
Sturridge, who joined Liverpool from Chelsea in January 2013, enjoyed his best season in a red shirt when he played alongside Raheem Sterling and Luis Suarez in 2013-2014, scoring 21 goals in 29 league games.
The normally reliable James Milner also missed a penalty in what ended up in a comfortable win for the Reds as they ramp up the preparations for next season.