In related developments, the WHO weighed in on the latest epi data and recent travel-related measures from other countries.
Officials said the outbreak is under control and that 346 people have been immunized so far.
The steps are part of a broader US response, which has included assistance from the CDC's office in Rwanda and support for vaccination.
The Sabin Vaccine Institute was able to ship the vaccine, now going into the arms of health workers, within 7 days of the Rwanda government's request.
Like past Marburg outbreaks, health workers have been heavily impacted, accounting for 29 of the 36 cases.
The man and his traveling companion, who reportedly had flulike symptoms, were taken to University Hospital Eppendorf in Hamburg.
Rwanda's health ministry today reported two more cases, along with one more death, lifting the total to 29 cases, 10 of them fatal.
Control measures include limiting attendance at funerals of people who died from Marburg infections.
Seventeen patients with nonspecific symptoms such as fever and headache were ultimately diagnosed as having Wetland virus.
Effectiveness was consistent across sexes and age-groups: 80% in females, 86% in males, 80% in children, and 83% in adults.