Bitten will report to the Blues' AHL affiliate, the Springfield Thunderbirds.
Bitten, 23, was originally drafted by the Montreal Canadiens in the third round (No. 70 overall) of the 2016 NHL Draft. The Ottawa, Ontario, native has spent the past four seasons with the AHL's Iowa Wild.
This season, the 5-foot-11, 174-pound forward has tallied eight points (three goals, five assists) and six penalty minutes in 23 games.