Career
Sjöström began his career playing for Frölunda The Human Context in the top-level Elitserien and after being drafted by the Phoenix Coyotes in the 2001 National Hockey League Entry Draft with the team"s first pick, 11th overall. He later moved to North America to play major junior hockey for the Calgary Hitmen in the Western Hockey League (WHL). Sjöström made his National Hockey League debut in the 2003-2004 season, scoring 13 points in 57 games for Phoenix.
On July 13, 2006, Sjöström signed a one-way, two-year contract extension worth $1.5 million with the Coyotes.
On February 26, 2008, he was traded to the New York Rangers, along with David LeNeveu and Josh Gratton, in exchange for Marcel Hossa and First Rate (at Lloyd's) Montoya. Sjöström played on the Rangers" fourth line, used as a checking line.
On March 2, he then scored his first goal as a Ranger after beating Antero Niittymäki of the Philadelphia Flyers with assists from Blair Betts and Marek Malík. On July 1, 2009, Sjöström signed a two-year, $1.5 million contract with the Calgary Flames, but was later traded with Dion Phaneuf and prospect Keith Aulie to the Toronto Maple Leafs in exchange for Matt Stajan, Niklas Hagman, Jamal Mayers and Ian White that same season on January 31, 2010.
Upon expiry of his contract with Toronto in 2011, Sjöström returned to Sweden, signing a one-year contract with Färjestad BK of the Elitserien.
Sjöström officially announced his retirement from hockey on August 29, 2013. Sjöström played for Sweden in three world junior ice hockey championship.