Rohlsson made his first appearances as a Davis Cup player for Sweden in 1938, during the Europe Zone second round tie against Switzerland. He represented Sweden again in 1939, in the tie between Sweden and Germany, that was played in Berlin during the month of May, three months before the outbreak of World War II. Rohlsson and Kalle Schröder managed the Swedish team's only victory of the tie, beating the German doubles pair of Henner Henkel and Georg von Metaxa.