An oil resistant polymer composition is disclosed that contains a thermoplastic elastomer combined with an olefin and vinyl acetate copolymer on an oleophobic agent. In one embodiment, the composition contains a thermoplastic polyester elastomer combined with an ethylene and vinyl acetate copolymer. In order to render the polymer composition oil resistant, the polymer composition can further contain an UHMW silicone, a fluoropolymer, and optionally a crosslinking agent and/or an antiplasticizer.