Smith was designated for assignment by Atlanta on Wednesday.
Smith is out of the lineup for Sunday's game against the Rays.
Smith is not in the lineup for Saturday's against the Marlins.
Smith isn't starting Wednesday's game against the Pirates.
Smith went 2-for-3 with two walks, two runs and an RBI in Atlanta's 20-2 win over the Mets on Wednesday.
Smith will start at catcher and bat seventh Wednesday against the Red Sox.
Smith was traded from Tampa Bay to Atlanta on Wednesday in exchange for cash considerations.
Smith was designated for assignment by the Rays on Sunday, Adam Berry of MLB.com reports.
Smith's contract was selected by the Rays on Friday, Marc Topkin of the Tampa Bay Times reports.
Smith (back) will begin ramping up baseball activities and was reassigned to minor-league camp Friday, Neil Solondz of the Rays Radio Network reports.