Perkins has averaged 3.4 points and 5.0 rebounds in 54 starts. He has missed three games, including two for personal reasons in December.
The Western Conference leading Thunder (43-14) are 0-3 this season with Perkins out of the lineup.
Rookie Steven Adams made his third career start in Perkins' place Sunday. He had one point, six rebounds, one block and one turnover in 16 minutes.
The Associated Press contributed to this report.