Both players were not in the lineup for Sunday's series finale.
Gordon was removed in the fourth inning Saturday because of right hip discomfort and was replaced by Chone Figgins. The team said he was day to day.
Puig extended his on-base streak to 38 games when he drew a one-out walk in the fifth Saturday. Adrian Gonzalez then grounded into an inning-ending double play, and Puig was injured as he hustled to second base and slid hard into the bag.
He did not come out for the bottom of the fifth, replaced in right field by Scott Van Slyke. The team said Puig was day to day with a right hip flexor strain.
Dodgers manager Don Mattingly said he's hopeful neither Gordon nor Puig will miss much time.
"I couldn't answer that right now," Mattingly said Saturday after the game. "The fact that there's no further tests scheduled at this point leads me to believe, at least hopefully, that these are day-to-day issues and not long-term issues."
Speaking through a translator Saturday, Puig said he felt something in his right leg on the hard slide.
"I was trying to break up the double play and I felt a little something that was stretching my leg," he said. "The medical staff wanted me to come out to get some treatment, and hopefully it's not that big of an issue."
He added: "At this point, I think it's going to be one or two days. Obviously, I'm going to get treatment. I'm going to put some ice on it. My hope is to be able to play. We'll see how I feel tomorrow. And hopefully, I'll be able to play, if not tomorrow, then in Cincinnati," where the Dodgers open a four-game series Monday.
Gordon said he woke up with soreness in his right hip and had it stretched out by members of the training staff before the game.
"It felt a little bit better but it wasn't to where I could be my regular self," Gordon said. "I couldn't run the way I wanted to."
After receiving more treatment, he was optimistic he wouldn't be out long.
"It feels way better now after doing some stuff for it," Gordon said.
The Associated Press contributed to this report.