A roll of grid material for mine roof support, and a mining machine in combination with such a roll, in which the roll has bands of adhering material injected or otherwise forced into the roll in spaced locations along the roll's width. The adhering material interconnects the overlapped layers within the roll and is sufficiently strong to hold the grid material in the rolled configuration for transport and storage, and yet is readily pulled apart in response to sufficient manual or mechanical pressure applied against the roll, or tension applied to the unwound portion thereof, so as to enable the grid material to be incrementally unwound and installed in the mine. The rolls can be installed using a range of mining machines without need for any specialized dispensing or other apparatus mounted on the machine and without the need for any mechanical device to control unwinding.