A continuous cooker having a conveyor capable of repositioning product and cleaning itself of debris and a method for its operation. The cooker includes a conveyor that transports food atop a conveyor belt to a cooking chamber. Upper and lower diverting rollers guide the belt along an S-shaped product-repositioning path segment. The lower diverting roller is rotated at a speed different from the speed of the conveyor belt to cause the belt to slip on the roller's periphery, which effects a scraping action against the conveying side of the belt to dislodge debris.