He is unlikely to feature against Manchester United this weekend, but Sturridge will hope his involvement represents a breakthrough after the problems that decimated last season's campaign.
Sturridge spent the summer in America recuperating from hip surgery and returned to Merseyside at the end of last month.
Jordan Henderson and Adam Lallana did not take part in training, but will be assessed tomorrow.
GETTY
Daniel Sturridge has stepped up his Liverpool training
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