The 108-cap Estonian captain has emerged as a somewhat surprise target for the Reds over the course of the past 24 hours with Jurgen Klopp having reacted to a spate of injuries at centre-back.
Both Mamadou Sakho and Joe Gomez are suffering with Achilles issues, and their absences, alongside the exits of Kolo Toure and Martin Skrtel, have left the Merseysiders looking at starting the 2016/17 season with only Joel Matip and Dejan Lovren available at the heart of their backline.
But Klopp’s concerns could be somewhat eased within the coming day or two, with Klavan expected to undergo a medical with the club on Tuesday.
Liverpool are believed to have a greed a £4.2m, plus add-ons, deal with Bundesliga side Augsburg for the defender, who is likely to be fourth or fifth choice at the club when all are fit.
Even if a deal progresses rapidly, it’s unlikely that the Baltic ace will be ready for Wednesday’s pre-season clash with Huddersfield, but he will likely travel to America for the next leg of the club’s 2016/17 build-up plans.
Should a transfer go through, the defender could become Liverpool’s fourth addition of the summer – Loris Karius, Sadio Mane and Matip have already been signed – and may be joined by Newcastle’s Georginio Wijnaldum.