The 24-year-old is coming off a career year in which he had 54 points (20-34) in 82 games for the Wild. He earned US$902,500 last season. In 146 career games, Koivu has 75 points (26-49).
Skoula had 15 assists and a plus-9 rating in 81 games with the Wild last year. He earned $1.625 million.
Skoula has played 563 NHL games with Minnesota, Colorado, Anaheim and Dallas and has 158 points (34-124).