The Astros said Altuve suffered a left leg contusion and is day-to-day.
"He's going to be sore," manager Dusty Baker said. "He was going to be off [Friday] anyway, so I hope he'll be ready for Saturday and Sunday."
Altuve has reached base in 12 consecutive games while batting .350 over that stretch. He is batting .277 with 17 homers and 33 RBIs this season, earning the chance to play for Baker, the American League manager, at the All-Star Game at Dodger Stadium next week.
Mauricio Dubon replaced Altuve at second base for Houston in its series finale at Angel Stadium. The Astros won 3-2 in 10 innings.
The Associated Press contributed to this report.