Haywood has tightness in his lower back.
Odom, the Sixth Man of the Year last season, has been a disappointment after being traded from the Los Angeles Lakers to the Mavericks during training camp. However, Carlisle said he's been encouraged by Odom's recent performances.
"We'll miss a guy that's playing good basketball," Carlisle said. "We'll miss his rebounding, his playmaking and he's an experienced player. We're going to have to step it up in other areas."
Haywood has been a key figure in the NBA's fifth-ranked scoring defense. He is averaging 5.4 points, 7.3 rebounds and 1.0 block per game while splitting time with backup Ian Mahinmi.
Tim MacMahon covers the Mavericks for ESPNDallas.com.