Sturridge has endured a frustrating four-and-a-half years at Liverpool after arriving from Chelsea in January 2013.
The England international initially thrived under former boss Brendan Rodgers, forming a lethal partnership with Luis Suarez as the Reds nearly ended their agonising wait for the Premier League title.
However, since the appointment of Jurgen Klopp as Liverpool manager in October 2015, Sturridge's form has waned.
The 27-year-old managed just seven goals last term as injuries and inconsistent form saw him limited to just 27 appearances across all competitions.
Coutinho, Salah and Lallana all smiles as Liverpool fly out for pre-season tour Sun, July 16, 2017
The Liverpool squad were in a good mood at Manchester Airport as they headed out for their pre-season tour in Hong Kong
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The Liverpool squad were in a cheerful mood as they flew out for pre-season
Jurgen Klopp has failed to get the best out of Daniel Sturridge at Liverpool
Daniel Sturridge turned down the chance to swap Liverpool for China
It was two more than he managed the season previously but the constant setbacks have plunged his Anfield career into doubt.
And the Sunday Mirror claim Sturridge rejected a move to Beijing Guoan before the Chinese transfer window shut on Friday.
It is said that they were willing to make him just the second Englishman ever to ply his trade in the Far East.
However, Sturridge rejected a move and told Beijing manager Roger Schmidt he was not interested in the offer.
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Speaking in May, Klopp was coy on whether or not the former Chelsea and Manchester City star would leave the club.
Liverpool star Daniel Sturridge rejected a move to China
“Whatever I say it would be a headline and I don’t want headlines after the season. I am fine with the headlines already," he said.
“We speak about everything. We spoke, we speak. It’s not just a case of starting with things now.
“It’s not just my talks, it’s talks with (sporting director) Michael Edwards, with agents or whatever. We speak to everybody. In the end, everybody will know what happens when it happens.”
“It is not always in our hands. It’s not just about Daniel. That’s how transfers work – whether someone stays or not. There are a few things still to do this summer but we have time.”