The Yankees sent Smith outright to Triple-A Scranton/Wilkes-Barre on Saturday.
The Yankees designated Smith for assignment Thursday.
The Yankees selected Smith's contract from Triple-A Scranton/Wilkes-Barre on Saturday, YES Network reports.
The Yankees reassigned Smith to minor-league camp on Monday, Bryan Hoch of MLB.com reports.
Smith agreed to a minor-league contract with the Yankees on Monday, Jon Heyman of the New York Post reports.
Smith became a free agent Friday after the Athletics declined to tender him a contract.
Smith was optioned to Triple-A Las Vegas on Tuesday.
Smith went 1-for-3 with a double and a run in a loss to the Tigers on Thursday.
Smith will sit for the second straight game Saturday against San Diego.
Smith is not in the lineup Friday against the Padres.