The Berlin club, who are currently ninth in the Bundesliga, are showing serious ambition by moving for the Germany international.
The PSG fan source claims a deal worth €20m plus bonuses ‘is taking shape’.
Draxler is after regular football to improve his chances of representing Germany at Euro 2020 (played in 2021).
Hertha are willing to offer former Schalke man Draxler a four-year deal worth €4m-per-season.
ParisFans.fr claims talks between the clubs are progressing well, adding there is still work to be done.
26-year-old Draxler made eleven Ligue 1 appearances this season, with only seven of them starts.
He joined PSG from Wolfsburg in January 2017 and has scored 20 goals in 137 appearances for Les Parisiens.