Smith was designated for waivers by the Leafs on Monday.
Smith, who is on the bubble with the Leafs this season, is working hard to earn a roster spot for 2017-18.
Smith signed a one-year, $650,000 contract on Tuesday.
Smith has only suited up for the Leafs once in the last month.
Smith (finger) is listed as healthy scratch for Thursday's game against the Flyers, NHL.com reports.
Smith was not available to practice with the team Monday as he was receiving treatment on the finger he broke in December, David Alter of The Athletic reports.
Smith has just one point since his Feb. 2 return from injury.
Smith (hand) was activated from the injured reserve list Thursday, Terry Koshan of the Toronto Sun reports.
Smith (hand) is scheduled to have the pins removed from his hand Wednesday, Paul Hendrick of Leafs TV reports.
Smith (upper body) was designated for injured reserve Wednesday.