Tirado was outrighted to Triple-A Lehigh Valley on Monday.
Tirado was placed on the disabled list at Double-A Reading with a right shoulder strain, Harold Hoch of the Reading Eagle reports.
Tirado was promoted to Double-A Reading this week and moved to the bullpen, Matt Breen of The Philadelphia Inquirer reports.
Tirado is 4-4 with a 49:31 K:BB in 54.1 innings at High-A Clearwater.
Tirado was reassigned to minor league camp Monday, Meghan Montemurro of The Wilmington News Journal reports.
Tirado was added to the Phillies' 40-man roster on Friday.
Tirado is 6-1 with a 3.58 ERA and an 86:35 K:BB in 55.1 innings for Low-A Lakewood this season.