On July 4, 2012, Suter signed a 13-year, $98 million contract with the Minnesota Wild. He and fellow free agent signee Zach Parise were introduced to the media on July 10 and were announced as alternate captains under captain Mikko Koivu. Suter got off to a rough start with a –7 plus-minus rating in his first nine games. However, once he began pairing with rookie defenseman Jonas Brodin, Suter began playing to expectations and was among three finalists for the James Norris Memorial Trophy, awarded yearly to the NHL's top defenseman during the regular season. For the season, Suter averaged an NHL-leading 27:17 minutes of ice time as he helped Minnesota reach the playoffs, where the team fell to the Chicago Blackhawks in the first round.