Baumann missed the next season due to injury, but was back at the European Championships in 1994. In the 5,000 m final, Baumann was always well placed in the field, and used his trademark devastating kick to outsprint Rob Denmark of the UK in the final lap to win the gold medal. At the World Championships in Gothenburg, in the 5,000 m final, Baumann inexplicably lost contact with the leading group with three laps to go, and struggled home in a disappointing ninth place. However, a few days after the disappointment of Gothenburg, Baumann ran one of the fastest races in his career when he broke his national record (13:01.72) to come second in Zürich behind Haile Gebrselassie.