In this work, we investigate the temperature dependence of the upper critical field, dHc2/dT, in an increasingly disordered NdFeAsO0.7F0.3 (NdFeAs(O,F)) single crystal that has been progressively irradiated up to a 5.25×10 16 /cm 2 total -particle dose. For H||ab-plane, dHc2/dT does not vary remarkably with irradiation, while for H//c-axis it increases sharply after the first irradiation of 3.60×10 15 /cm 2 and then more gradually with further irradiation doses. Focusing on H||c-axis, we develop a phenomenological analysis of the Hc2 slope which allows to inspect the crossover from the clean to the dirty regime. From the Hc2 slope normalized to the critical temperature and to its clean limit value, we extract the ratio of the coherence length BCS to the mean free path and we find that when the Tc is reduced by a factor of 4 from its pristine value, BCS/ becomes as large as 7 and reaches values ~1.8 nm, indicating that NdFeAs(O,F) is well into the dirty regime. Our analysis of the Hc2 slope also allows to compare the pair-breaking effectiveness of scattering in different superconductors, showing that it is comparable in NdFeAs(O,F) and in moderatetemperature phonon-mediated superconductors such as MgB2 and A15 compounds, but much stronger in YBa2Cu3O7-. This work thus shows that dHc2/dT is a figure of merit, alternative to the residual resistivity, to investigate the pair-breaking mechanism induced by impurity scattering in superconductors.