The German, a year since leaving Anfield, has agreed to follow up Claudio Ranieri, reports La Stampa.
The Red Bull Football Chief had agreed a move to another club that was in the middle of changing owners before he connected to the Giallorossi.
Klopp held conversations with the Friedkins, the club owners, and also sports director Florent Ghisolfi, about the necessity of six new additions that deal with the center-back, right and center-forward positions.
Refueling the speculation was a video that was released by the Friedkin group, which emphasizes Roma and its history.
And a series of orientation points are shown in the clip, the initials that describe the name of Klopp (Colosseum in German), Lupa (the She-Wolf), Olimpico, Saint Peter's Basilica and the Pantheon.