Heath Bell has closed in Putz's absence and is 13-for-15 in save opportunities over that stretch.
D-backs manager Kirk Gibson was asked Friday if Putz would immediately reclaim his closer's job.
"I haven't said that," Gibson said. "I've got to talk to J.J. about it."
Gibson did say that he would probably stay away from using Putz on back-to-back days initially.
Steve Gilbert is a reporter for MLB.com. Read his blog, Inside the D-backs, and follow him on Twitter @SteveGilbertMLB. This story was not subject to the approval of Major League Baseball or its clubs.