For precautionary measures, Segura sat out Sunday's game and did not start in the series opener on Tuesday with the Marlins.
"He's doing better," Hale said. "He's close [to returning]. It's not really a hip flexor, it's just a little knot in there.
"He came out and ran [before Tuesday's game], and he ran well. But he was just a little worried. He didn't feel like he could go 100 percent. If he doesn't feel it, we'll just back off. We feel like one more day [off] would be great."
The D-backs played in 20 consecutive games without an off-day until Monday. It ties for the longest such streak this season. Arizona will play consecutively from Aug. 9-28.
"That's very tough on any athlete," Hale said.
Glenn Sattell is a contributor for MLB.com based in Miami.