In this article we prove that an Embedded Deformation of V which admits a Simultaneous Embedded Resolution induces, under certain conditions, a deformation of the space of m-jets V-m , m >= 0. An example of an Embedded Deformation of V which admits a Simultaneous Embedded Resolution is a Gamma(f)-deformation of V, where V has at most one isolated singularity, and f is non-degenerate with respect to the Newton Boundary Gamma(f). (C) 2018 Published by Elsevier Inc.