Conte, who figures to start at free safety, injured his right shoulder against the Washington Redskins on Aug. 18. The California native was a third-round selection by the Bears in 2011, and appeared in 14 games last year.
Paea has been out since Aug. 11, when he sprained his ankle during a practice. Paea, in his second year since being drafted out of Oregon State, will be in the starting rotation at defensive tackle. He managed two sacks and a safety in 11 games last season.
The Bears will be required to release an injury report on Wednesday.