Fabrizio Romano claims that Liverpool have made an offer for the 22-year-old and want a quick resolution to the deal.
Wirtz is reported to have given the green light to the move after turning down Bayern Munich.
Liverpool are also in talks with Leverkusen over Wirtz's team-mate Jeremie Frimpong.
A possible replacement for the outgoing Trent Alexander-Arnold, Frimpong has a release clause in his contract reported to be worth around £30m.
For more news relating to Manchester United, visit our sister site MUFC Live.
Click to visit Express | Click to return to LFC Live.net