The asymptotic plane-stress mode I crack-tip fields under small-scale yielding for pressure-sensitive materials are investigated. The yield criterion for these materials is described by a linear combination of the effective stress and the hydrostatic stress. Plastic dilatancy is introduced by normality flow rule. A closed-form general asymptotic solution for singular centered fan sectors is given as a function of μ, which is a pressure sensitivity parameter introduced in the yield condition. When elastic-perfectly plastic behavior is considered, the finite element results show the existence of elastic sectors bordering the stress-free crack faces. The near-tip stresses of the finite element results agree well with those of the corresponding asymptotic analysis. The angular spans of the elastic and plastic sectors vary with the value of μ. The parameter μ also has significant effects on the sizes and shapes of the plastic zones. The contribution of hydrostatic stress in the yield criterion for this class of pressure-sensitive materials extends the boundary of the plastic zone much farther in front of the crack-tip than that for incompressible Mises materials.