Process for deparaffinning a middle distillate feedstock using a catalyst based on izm-2 zeolite and an mfi-type zeolite

A process for deparaffinning a middle distillate feedstock, using in a fixed-bed reactor at least one catalyst comprising at least one hydro-dehydrogenating phase containing at least one metal from group VIB and at least one metal from group VIII of the Periodic Table of the Elements, and a support comprising at least one IZM-2 zeolite, a zeolite of MFI framework type code and a binder, said process operating at a temperature of between 170 and 500° C., at a pressure of between 0.1 and 25 MPa, at an hourly space velocity of between 0.05 and 50 h−1 and in the presence of a total amount of hydrogen mixed with the feedstock such that the hydrogen/feedstock ratio is between 50 and 2000 normal liters of hydrogen per normal liter of feedstock.