كتب : Hatem Maher
Dortmund are looking to find a replacement for Thomas Doll, who handed in his resignation after the club endured a disappointing campaign.
They finished 13th in the Bundesliga table, their lowest position in two decades.
Dortmund turned their attention towards Klopp, who left Mainz after failing to steer them to a place in the top tier.
"We are talking, but there is no pressure because Klopp is still affected by his emotional goodbye from Mainz," Dortmund sporting director Michael Zorc told Bild.
Dortmund my face competition from Bayer Leverkusen, who are reportedly interested in appointing Klopp as their new coach after the sacking of Michael Skibbe.