Career
On May 29, 2012, the Boston Bruins announced that they had signed Svedberg from the Swedish Elite League to an Entry Level Contract. Svedberg made his AHL debut on October 19, 2012 against the Manchester Monarchs. Svedberg was called up to the Boston Bruins on May 24, 2013.
Svedberg was also voted as the AHL 2012-2013 goalie of the year.
As a restricted free agent after his first year as the Bruins backup in the 2014-2015 season, Svedberg opted to sign a one-year KHL contract with Russian club, Salavat Yulaev Ufa on May 10, 2015.