A method of constructing an earth-boring, diamond-impregnated drill bit has a first step of coating diamond grit with tungsten to create tungsten-coated diamond particles. These coated particles are then encapsulated in a layer of carbide powder held by an organic green binder material. The encapsulated granules are then mixed along with a matrix material and placed in a mold. The matrix material includes a matrix binder and abrasive particles. The mixture is heated in the mold at atmospheric pressure to cause the matrix binder to melt and infiltrate the encapsulated granules and abrasive particles.