"I feel like it's going to be sometime this coming week," Mattingly said. "If I would guess, it would be later than earlier."
Puig has been on the disabled list since April 26 because of a strained left hamstring. He played two games with Class-A Rancho Cucamonga earlier this month, but he reaggravated the hamstring injury.
Puig is working out at the Dodgers' spring-training facility in Arizona.
"I think Yasiel's moving forward," Mattingly said.
On Saturday, Puig took live batting practice against sidelined reliever
Of running curves, Mattingly said, "It seems like that's the point when guys are getting closer to going out and playing in a rehab game."