The 46-year-old has seen his touchline suspension extended following his outburst at an official during the match with Napoli, although the club could appeal the decision
Tournament organisers Uefa had initially suspended the 46-year-old coach for one match for clashing with the fourth official during last month's 2-1 defeat by Group F rivals Napoli.
However, after reviewing the incident again on October 2, the European game's governing body have decided to double the length of the ban, meaning he will not be on the touchline for the game at the Emirates Stadium later this month.
Klopp has already publicly apologised for his antics, admitting that he behaved "like a monkey", and Dortmund could yet decide to appeal this latest ruling.
Dortmund, who routed Olympique de Marseille 3-0 at Signal Iduna Park on Tuesday evening, face group leaders Arsenal in a crunch clash at the Emirates on October 22.