The Athletic's Liverpool correspondent James Pearce claims Reds will be in the market for another forward in the summer, but they have ruled out Havertz and Sancho on financial grounds.
Werner, who has a 60m euros exit clause in his contract at RB Leipzig, is seen as the most likely addition to Jurgen Klopp's squad because he is available for much less.
The 23-year-old has been linked with the Reds on and off for the past two years now and he's certainly a player Klopp admires.
And the news that the Confederation of African Football has moved the 2021 African Cup of Nations back to its former mid-season slot has sharpened Liverpool's focus as they prepare to be without so many key players during that tournament.
Mo Salah, Naby Keita, Sadio Mané and Joel Matip could all be missing for a month or more.