Gaudette was summoned from AHL Springfield on Wednesday.
Gaudette was placed on waivers Friday, Chris Johnston of TSN reports.
Gaudette, who was eligible to become a restricted free agent this summer, inked a one-year, two-way contract worth $775,000 at the NHL level with St. Louis on Wednesday, per Matthew DeFranks of the St. Louis Post-Dispatch.
Gaudette was in attendance at Tuesday's practice session after clearing waivers, David Alter of Sports Illustrated reports.
Gaudette was waived Sunday, per James Mirtle of The Athletic.
Gaudette (shoulder) is "feeling good now" and is just dealing with a little soreness, David Alter of Sports Illustrated reports.
Gaudette suffered a shoulder injury and won't be in attendance for practice Monday, Terry Koshan of The Toronto Sun reports.
Gaudette is skating on a line with John Tavares and Mitch Marner at the start of training camp, per Jonas Siegel of The Athletic.
Gaudette put pen to paper on a one-year, $750,000 contract with Toronto on Wednesday.
Gaudette didn't receive a qualifying offer from the Senators, so he'll become an unrestricted free agent Wednesday, Sportsnet reports.