The former Arsenal man has been blighted by injuries since swapping London for Merseyside in 2017, but he has struggled to get a look-in when fully fit this season.
Oxlade-Chamberlain missed the first three months of the 2020-21 campaign with a knee issue, but he has started a mere two Premier League matches since recovering from that setback.
Now, Fichajes.net claim that the 27-year-old has decided to head elsewhere this summer, and Dortmund are hoping to help him reignite his career.
The report adds that Liverpool may be willing to sanction a sale for €20m (£17.3m) this summer, even though Oxlade-Chamberlain's deal at Anfield is not due to expire until the summer of 2023.
The England international has made just 14 appearances in all competitions this season, and he has registered a total of 13 goals and 11 assists in 101 games for Liverpool.
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