Sjöberg played much of his career with Malmö FF in Allsvenskan during the 1970s. Already during his first season for Malmö FF, the club, much to his goal scoring capacity won the top Swedish football league, Allsvenskan in 1974, under English manager Bob Houghton. This was repeated the following season. When he then left for Karlsruher SC in the Bundesliga during the 1976-77 season, his former Swedish club only came second in Allsvenskan, behind Halmstad BK, which were led by another Englishman, Roy Hodgson. As Sjöberg returned to Malmö FF they won Allsvenskan again! So during four years, Malmö FF won Allsvenskan at three occasions, in which Sjöberg participated during the three "golden years" only.
After scoring a goal for Sweden in the 1978 Word Cup in Argentine against Brazil, the well bearded Sjöberg become interesting for an Arabian Sheik, who bought him for a club in Saudi Arabia. This became a rather short adventure for him, and likewise a shorter time in the old North American NASL league (not to be confused with current MLS) and a club from Chicago followed. This time he was abcent from Malmö FF for less than 12 months. However he missed an indeed very importaint season for Malmö FF, and didn't participate in the club's most well known international achievement so far (also by summer of 2014), to reach the final of the European Cup in 1978-79 season. (which though was lost to Nottingham Forest by a single decider). He did though return to Malmö FF for a third time and for some more seasons. But he ended his career in Helsingborg IF, the main club of his home city, Helsingborg, Scania .