The guard strained his right hip flexor Friday in practice, according to the Sacramento Bee.
Bibby will be a game-time decision Saturday, when the Kings play the Dallas Mavericks at 7 p.m. ET.
After a scary escape in Game 2, the Kings can't afford to have their playmaker sidelined, especially with Bobby Jackson likely done for the season.
The Kings lead the best-of-seven series 2-0.
Bibby is averaging 19 points and 5.5 assists in 41.5 minutes in the playoffs.