The star shortstop was placed on the injured list Tuesday due to health and safety protocols.
Tatis is by far the most significant player sidelined. The 22-year-old has recorded nine homers with an .867 OPS over 26 games this season.
Tuesday's contest between the Padres and Colorado Rockies will still go ahead as scheduled.
San Diego recalled Tucupita Marcano and Nabil Crismatt, and selected John Andreoli in corresponding moves.