The invention relates to a tread made of a rubber material for a tire for winter driving. Said tread includes a plurality of blocks (3) having a height H, each block comprising a contact surface (7) which is to contact the ground when the tire is rolling, and at least one side surface (5a, 5b), said side surface being covered with a layer (10) of a covering material over at least 50% of the surface thereof. The block comprises a leading area for firstly contacting the ground while the tire is rolling, and said block (3) has a direction (J) of oblique extension such that the leading area of said block is a leading corner (9). The block (3) further comprises a portion (11) that is not covered by the covering material, said covering material having an elastic modulus that is greater than the elastic modulus of the rubber material constituting the block, said uncovered portion (11) extending from the leading corner over at least a third of the height H of the block.