  We study the azimuthal asymmetries for the distributions of leading pions
inside a jet produced inclusively in high-energy proton-proton collisions
within the framework of the transverse momentum dependent generalized parton
model. We present results for the RHIC center-of-mass energies $\sqrt{s}$ = 200
and 500 GeV, mainly for forward jet rapidities, in particular for the two
mechanisms which dominate such asymmetries: the Sivers and the Collins effects.
We also briefly discuss the case of inclusive jet production and, adopting the
so-called colour gauge invariant parton model, we propose a phenomenological
analysis of the process dependence of the quark Sivers function.
