The Astros placed Smith (personal) on the restricted list Wednesday, Jon Heyman of MLB Network reports.
Astros manager Dusty Baker said Sunday that Smith wasn't present due to a family matter, Chandler Rome of the Houston Chronicle reports.
Smith is expected to serve as a bridge to closer Roberto Osuna in the Astros' bullpen, Brian McTaggart of MLB.com reports. He's allowed two runs on three hits while striking out two over 4.1 spring innings.
Smith signed a two-year deal with the Astros on Monday, Chandler Rome of the Houston Chronicle reports.
Smith (Achilles) was activated from the 60-day injured list prior to Friday's game against the Rangers, Jon Morosi of MLB Network reports.
Smith (Achilles) could be activated from the 60-day injured list over the weekend, Hunter Atkins of the Houston Chronicle reports.
The Astros don't expect Smith (Achilles) to be ready to return from the 60-day injured list until after the All-Star break, Jake Kaplan of The Athletic reports.
Smith (Achilles) will begin a minor-league rehab assignment with Double-A Corpus Christi on Wednesday, Chandler Rome of the Houston Chronicle reports.
Smith (Achilles) threw live batting practice Monday, Brian McTaggart of MLB.com reports.
Smith (Achilles) is slated to throw one more bullpen session early next week before embarking on a rehab assignment, Chandler Rome of the Houston Chronicle reports.