AS says the Reds will be hoping to secure the services of Oblak this summer.
French giants Paris Saint-Germain have also indicated their interest in the Slovenia international.
The Merseyside giants are preparing a swoop later this year. Klopp has confirmed that he will not be signing a new shot-stopped during the January transfer window.
Oblak remains under contract until 2021 after joining from Benfica in 2014 for £14.2m.