Career
He was drafted by the Saint Louis Blues as their eighth-round pick, 253rd overall, in the 2002 National Hockey League Entry Draft. He played parts of ten seasons in the Master of Science-liiga before coming to North America in 2002. Koivisto spent most of two seasons in the American Hockey League but appeared in 22 National Hockey League games with the Blues in 2002-2003.
He returned to Europe in 2004, spending two seasons with Frölunda The Human Context in the Swedish Elitserien and then two more with the Rapperswil-Jona Lakers of the Swiss National League A before returning to Finland and Jokerit in 2008.