Enclosure methods based on interval analysis construct state enclosures of dynamical systems. Parallelotope state enclosures are well known and widely used in the context of discrete-time dynamical systems and continuous-time ODE-driven dynamical systems. They drastically reduce the wrapping effect in the case of small initial conditions (small enough so that linearizations are accurate). We propose and experimentally evaluate a new parallelotope method for hybrid systems. Our method provides much sharper enclosures than the current methods for small initial conditions , it allows a correct timing associated with state enclosures to be maintained, and it computes space derivatives along the trajectory.