"We're keeping an eye on Joaquin," Black said. "He's feeling better. He threw in the outfield yesterday, played catch. He's had four or five days of rest."
Benoit has a 4.09 ERA in 11 innings over 12 games, though he's been scored on five times.
The Padres added a reliever to the 25-man roster before Friday's game against the Rockies, as Nick Vincent was promoted from Triple-A El Paso.
At this point, the Padres don't think Benoit will require a disabled list stint if he doesn't throw Saturday against the Rockies, which will give him five full days off.
"He's improving," Black said.
The Padres had been using Benoit as an eighth-inning specialist, setting up closer Craig Kimbrel. The team will likely use Dale Thayer in those spots moving forward.
Corey Brock is a reporter for MLB.com. Keep track of @FollowThePadres on Twitter. This story was not subject to the approval of Major League Baseball or its clubs.