The Reds are preparing a written bid that could total 118 million pounds, including performance-related bonuses and add-ons, in line with Leverkusen's likely acceptable price.
Wirtz, who is desperate to join Liverpool, has already turned down approaches from Bayern Munich and Manchester City.
The 21-year-old attacking midfielder has made it clear that Anfield is his preferred destination, and sources close to the negotiations suggest all parties are confident a deal can be completed soon.
Bayer Leverkusen have already rejected Liverpool's previous bid, which was worth 113 million pounds (100m base fee plus 13m in add-ons), but they are now resigned to losing their prized asset.
While the German club have set an official asking price of 126 million pounds, they are understood to be willing to accept a slightly lower fee, provided the structure of add-ons is improved - even if some of those are difficult to attain.
Discussions are ongoing regarding the finer details of those bonuses, with Leverkusen aiming to maximise their financial return. However, the club will not block Wirtz's move if they receive what they deem fair compensation.
Wirtz is expected to feature for Germany this afternoon in the Nations League third-place play-off against France in Stuttgart.