However, it is a move that the Reds have essentially been forced into, having decided that the club's two other targets were not feasible - and those two players have now been revealed.
While Liverpool have been linked with all sorts of names all summer - Jack Butland, Bernd Leno (even Thibaut Courtois), the latest revelation makes it seem that these targets were bogus.
Oblak was a name that was covered, but a move for the Slovenian always seemed dead in the water. Oblak, while offering a hugely talented pair of hands, would simply prove too costly.
The only way that Atletico Madrid would even consider selling one of their biggest assets would be if his buyout clause was triggered - a hefty £89m - and the £62m for Alisson seems to sit better at Anfield.
Strangely, though, the report goes on to reveal that Liverpool's interest in Burnley stopper Pope was also quite high, but Klopp felt that the £20m asking price was too much for a player of his quality.
Instead, Liverpool look odds on to break the world record fee for a goalkeeper in the coming days, and while Chelsea may be interested in signing Alisson, it is believed that his preferred destination is at Anfield.
Finally, after months of chit chat, we're seeing some movement.