Alkaline pulping (such as Kraft) processes for various lignocellulosic materials, such as coniferous or disiduous wood chips, into pulp is improved by adding relatively small amounts of a digestive additive selected from the group consisting essentially of anionic surfactants, nonionic surfactants, and anionic/nonionic surfactant blends, such as sodium alpha-sulfo methyl laurate, cocodiethanolamide, butyl ethylenoxide-propylenoxide block copolymers, etc. to the alkaline cooking media to obtain pulps having a select Kappa number range with a reduction in pulp material reject percentage, a reduction of H-factor, a reduction of white liquor requirements and a reduction of cooking time period, relative to H-factor, reject percentages, white liquor requirements and digestion periods experienced in similar alkaline digestion processes without the inventive digestive additive.