Parker came off the bench all six games he played after returning from a broken bone in his right hand that knocked him out for a month. However, Hill aggravated a sprained right ankle in the season finale Wednesday night.
Hill took part in some of practice Friday and is considered a game-time decision.
"He got around and got a decent workout," Popovich said. "We'll see what happens, we'll see how it goes."
If Popovich decides Hill can play, then he has to pick a starter. Parker said he's "definitely" fine with whatever role Popovich chooses for him.
"We all have to make adjustments," Parker said.
Parker said he expects Hill to play.
"I'm not worried about that," Parker said. "George is a tough guy."
As for his own health, Parker said: "I'm feeling great. No excuse. It's the playoffs. I'll be ready."
Bringing a player of Parker's caliber off the bench wouldn't be too unusual for San Antonio. Popovich has often used Manu Ginobili as a reserve in the playoffs to help lift his second unit, while still using him as much as any starter and in all crucial second-half situations.