Odom is game-time decision for Tuesday
Odom, who fell awkwardly while attempting to drive during the third quarter of Sunday's surprise 99-87 loss to the Rockets in Houston, had a CT scan and MRI on Monday morning.
The scan showed he had a lower back contusion, and a final decision on his ability to play will be made before Tuesday morning's shootaround, the Lakers said on their Web site.
Los Angeles is tied 2-2 with Houston in their Western Conference semifinal series after squandering a golden opportunity to go 3-1 up against a Rockets team missing the pivotal Yao Ming because of injury.
Chinese center Yao broke his left foot in Friday's loss to the Lakers, but Houston shrugged off his absence by outplaying the top-seeded Lakers on Sunday.
"We just happened to play probably our worst game of the year," Odom told reporters. "It hurts. We got beat.
"Now we go back home. Hopefully I will be able to help the team on Tuesday."