The Reds are currently without Joe Gomez and Virgil van Dijk for the long term, while Joel Matip has also suffered another injury recently, and Jurgen Klopp has been tipped to bring in another centre-back to solve their defensive crisis next month.
RB Leipzig's Dayot Upamecano has been mentioned as a potential solution, but Liverpool are reportedly exploring a number of options ahead of the January window.
According to FCInterNews, Inter's De Vrij has been earmarked as an ideal signing for the Premier League champions, but Liverpool may struggle to prise him away from San Siro.
The report claims that Antonio Conte is not looking to sell one of his first-team regulars, and while Inter are prepared to do away with some players in January, the club would not sanction a deal for De Vrij.
The Netherlands international has made 15 appearances for the Nerazzurri in all competitions this season, and De Vrij is contracted to Inter until the end of the 2022-23 season.