The reigning National League MVP turned his ankle on third base while catching a foul popup in the fifth inning Wednesday.
"It feels a ton better today," Bryant said Thursday. "I'm moving around pretty good. I don't think it will be too long."
X-rays Wednesday were negative. After leaving the field Bryant said he and the training staff "did a bunch of stuff that didn't feel good, but I guess it really made feel better today."
He was replaced at third base Thursday by Jeimer Candelario.
"Just got to give us a couple of days to figure it out at that point," Cubs manager Joe Maddon said.
Maddon acknowledged he could hold Bryant out until Chicago hosts Tampa Bay on Tuesday.
"I would think that's what it's going to be. When you sprain your ankle, it just doesn't get better overnight," Maddon said.
The injury occurred in part because the popup drifted.
"The ball started out pretty far over from the bag so I thought I was pretty far away from it," Bryant said. "One step. I can't believe it happened."
Bryant is batting .264 with 16 home runs and 32 RBIs.
"Maybe soften the bags a little bit, like old school. Maybe just throw a hat down," he joked.