A compressible resilient industrial fabric, wherein the fabric includes a structure having an original thickness, comprising: a structure including: a plurality of substantially parallel cross-machine direction functional yarns (14, 22); a plurality of substantially parallel machine direction functional yarns (14, 22); and a plurality of substantially parallel hollow elastic members in CD and/or MD; the structure comprises: a first layer of the parallel yarns running in either the CD or the MD direction; a second layer of the parallel hollow elastic members on one side of the first layer, the second layer's hollow elastic members running in the CD or MD direction different from that of the first layer; and a third layer of the parallel yarns on the opposite side of the second layer as the first layer and running in the same direction as those of the first layer, wherein the parallel yarns of the third layer are aligned such that the parallel yarns of the third layer nest between the parallel yarns of the first layer under a compressive load, characterized in that the fabric has a laminated structure and in that the hollow elastic members are elastic in their thickness or radial direction and length or axial direction such that under the compressive load the hollow elastic members stretch and compress to conform to the nesting and enable the yarns of the first and third layers to move toward each other to nest between each other in substantially the same plane, wherein upon release of the compressive load the elasticity of the second layer causes the first and third layers to spring back returning the structure to substantially the original thickness, wherein the fabric is formed in an endless structure in the form of a continuous loop. a structure including: a plurality of substantially parallel cross-machine direction functional yarns (14, 22); a plurality of substantially parallel machine direction functional yarns (14, 22); and a plurality of substantially parallel hollow elastic members in CD and/or MD; the structure comprises: a first layer of the parallel yarns running in either the CD or the MD direction; a second layer of the parallel hollow elastic members on one side of the first layer, the second layer's hollow elastic members running in the CD or MD direction different from that of the first layer; and a third layer of the parallel yarns on the opposite side of the second layer as the first layer and running in the same direction as those of the first layer, a plurality of substantially parallel cross-machine direction functional yarns (14, 22); a plurality of substantially parallel machine direction functional yarns (14, 22); and a plurality of substantially parallel hollow elastic members in CD and/or MD; a first layer of the parallel yarns running in either the CD or the MD direction; a second layer of the parallel hollow elastic members on one side of the first layer, the second layer's hollow elastic members running in the CD or MD direction different from that of the first layer; and a third layer of the parallel yarns on the opposite side of the second layer as the first layer and running in the same direction as those of the first layer, wherein the parallel yarns of the third layer are aligned such that the parallel yarns of the third layer nest between the parallel yarns of the first layer under a compressive load, characterized in that the fabric has a laminated structure and in that the hollow elastic members are elastic in their thickness or radial direction and length or axial direction such that under the compressive load the hollow elastic members stretch and compress to conform to the nesting and enable the yarns of the first and third layers to move toward each other to nest between each other in substantially the same plane, wherein upon release of the compressive load the elasticity of the second layer causes the first and third layers to spring back returning the structure to substantially the original thickness, wherein the fabric is formed in an endless structure in the form of a continuous loop.