Saunders was scratched from his start on Friday when he experienced tightness in his shoulder and could not get loose.
Following the game, Saunders said he hoped to avoid a stint on the DL, but after having an MRI on Saturday, it was determined that he would indeed go on it.
Saunders said the MRI did not show any structural damage, just some inflammation.
"It was definitely encouraging news," Saunders said. "It's a huge relief when you go there and your MRI is fine and you're perfectly healthy, you've just got a little bit of inflammation that's causing your arm to act up a little bit. It's an easy quick fix."
Saunders is eligible to come off the DL on July 2. If he were to be activated that day, he would miss just one turn through the rotation, which would either be Thursday against the Braves or Saturday against the Brewers, depending on how the team structures the rotation this week.
Saunders said he did not know how long he would need, but was hopeful it would be just the one start.
Albaladejo was 3-1 with a 2.64 ERA and 13 saves for Reno. He was up with the D-backs earlier this year and made one appearance.
"We needed some protection in the bullpen," D-backs manager Kirk Gibson said. "Because we utilized them pretty heavy [Friday] night and we've been utilizing the back-end guys pretty good."