The D-backs ran through five relievers after Delgado, but they got seven innings Thursday from left-hander Robbie Ray, which gave the bullpen a chance to get back to nearly full strength.
Arizona manager Torey Lovullo waited to name Delgado as Monday's starter because he wanted to make sure the bullpen would not be taxed again Thursday.
"He deserves that," Lovullo said of Delgado getting the start Monday. "We feel like Randall did a really good job, and we know that we can build on that pitch count. I think it was 60 pitches, so we can add 10 to 15 more pitches and see where that takes him."
The D-backs still do not plan on activating outfielder A.J. Pollock until after this 11-game road trip.
Pollock was placed on the DL on May 15 after suffering a Grade 1 right groin strain. He has been working out at the team's Spring Training facility at Salt River Fields.
"In A.J.'s case, he's such an important piece to this puzzle that we don't want to force feed anything," Lovullo said. "So we trust his feedback, we trust what he's giving us, we trust what's coming from Salt River with the medical staff there. When he's ready and he's giving us good feedback and we see it for ourselves, we'll pick it up."
Steve Gilbert has covered the D-backs for MLB.com since 2001. Follow him on Twitter @SteveGilbertMLB.
Carson Mason is a reporter for MLB.com based in Milwaukee.
This story was not subject to the approval of Major League Baseball or its clubs.