The Englishman was kept out of the opening four months of the season with injury.
But Jurgen Klopp has hardly used the 27-year-old since the turn of the year.
And according to Fichajes, Dortmund are hoping to 'seduce' Oxlade-Chamberlain to join them this summer.
The German outfit would potentially be able to sign the former Arsenal man for 20 million euros, the report claims.
This would be an affordable figure if the club eventually sell Erling Haaland and Jadon Sancho.