The People reports that Barrios has fallen out with Dortmund coach Jurgen Klopp and is no longer first-choice at the club.
Liverpool and Premier League rivals Queens Park Rangers have reportedly been in contact with Dortmund over a move for the striker.
Borussia Dortmund are reportedly looking for around £10million for the striker, while Liverpool and QPR are keen on signing the Paraguayan on loan for the rest of the season.
