Reaves was drafted by the St. Louis Blues in round 5, #156 overall, of the 2005 NHL Entry Draft. Reaves was recalled from Peoria by the Blues on October 10, 2010 after Cam Janssen suffered a concussion from a hit to the head in the Blues season opener on October 9th. Reaves made his NHL debut on October 11, 2010 vs. Anaheim Ducks. He was returned to Peoria after two games with the Blues as Vladimír Sobotka returned from the IR.