  Phenomenological studies of transverse momentum dependent (TMD) parton
distributions rely on the expansion in small values of the transverse
separation of fields, where TMD parton distributions match onto collinear
parton distribution functions. In this work, we derive this expansion at
tree-level for the genuine next-to-leading power quark-gluon-quark TMDs, taking
into account all the target mass corrections. We find that only a limited
number of TMD parton distributions exhibit matching to twist-three collinear
distributions, leading to a significant simplification in the analysis of the
structure functions of semi-inclusive deep inelastic scattering.
