In this paper an interval observer for Linear-Parameter-Varying (LPV) Systems is proposed. Usually, the design of such observers is based on monotone systems theory and the observation error should have a cooperative dynamics. In many cases, such a property is hard to satisfy. In this paper, a time-varying change of coordinates is used to overcome this limitation. Two sufficient conditions, according to the center and the radius dynamics of the proposed interval observer and ensuring the stability, are given. The efficiency of the proposed observer is illustrated through computer simulations.