Morgan has made 11 starts this season, but he was moved to the bullpen last month when righty Vince Velasquez was activated from the disabled list.
The 26-year-old has a 6.31 ERA in 13 appearances totalling 61 1/3 innings. He last pitched on Saturday, when he allowed one run over three innings of relief against the Royals in a game started by Nola.
Nola, in his second year in the Majors, has hit a wall in the last month. The young right-hander is 0-4 with a 13.50 ERA in his last five starts and has not lasted longer than five innings in any of those outings.
He started the season with a 2.65 ERA through his first 12 starts, but his season mark has risen to 4.69 since June 5. Nola will pitch a simulated game in Colorado before the Phillies head into the All-Star break.
Stephen Pianovich is a contributor to MLB.com based in Philadelphia.