595089 Disclosed is a conveyor apparatus (100) for conveying an air permeable continuous web which is stretchable in a cross direction perpendicular to the conveyance direction. The conveyor apparatus comprises an endless belt (110) provided with a plurality of suction portions (111) penetrating the belt. A suction mechanism provides suction to hold the web to the belt via the suction portions. The belt includes lifting portions located between the suction portions, in a cross direction (CD) of the belt, upon which the web is held. A method of conveying an air permeable continuous web is also disclosed.