Gerardo Martino's long-term future in Catalunya has been called into question lately amid the increasing possibility that the Blaugrana could end the season without silverware.
Klopp is understood to have topped a poll conducted by Marca over who the fans wish to see take the reins at Camp Nou next term, but the German says that he remains "a little in love" with his project in the Bundesliga.
The 46-year-old told the club's official website: "No-one has to be concerned. We are all still a little in love with this club and how things are going here."
Klopp has been with Dortmund since 2008 and led the club to back-to-back Bundesliga titles in 2011 and 2012 respectively.