Epsilon-near-zero (ENZ) materials display unique properties, among them large local field enhancement at ENZ frequency is of particular interest for many potential applications. In this paper, we introduce a concept that a combination of epsilon-near-zero- and surface plasmon-polariton modes can be excited over an interface between a dielectric and a single ENZ layer in a specific frequency region which can lead to extreme enhancement of local electric field. We demonstrate it by a systematic numerical simulation using finite element analysis and consider two configurations (Kretschmann configuration and a grating configuration), where an indium tin oxide (ITO) layer is sandwiched between two dielectric slabs. We confirm the formation of a hybrid mode at the ITO/dielectric interface at the wavelength of ENZ, as the ITO layer thickness reduces. The hybrid mode provides both high confinement and long propagation distance, which makes it more attractive for many applications than just a pure ENZ mode.