Staal is out with an unspecified upper body injury while Dwyer has a lower body injury.
The durable Staal has missed only 17 games during his 10-year career.
Peters also said forward Jeff Skinner is ''getting real close'' to returning after suffering a concussion during a preseason game Oct. 5 at Washington.
The coach said Skinner skated alone Monday, is expected to skate with the team before Tuesday night's game and ''hopefully by Thursday, he'll be ready to go.''
Carolina visits the New York Rangers on Thursday night.