Mellor thinks Sturridge, who started last weekend's 1-1 draw at Newcastle, has an important role to play.
“We've seen him looking better but I still think he's got goals in him," he told the Liverpool Echo.
“He did well when he came on as a substitute against Leicester and Burnley but it's difficult when you're not playing regularly.
“You're wondering 'when will I get my chance' and when you're given it you're thinking 'how long will I get it for?'
“I think he'll score some important goals for Liverpool this season and the sharper he gets the more he'll contribute."