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WTe₂ is a material possessing topological properties both as a bulk crystal and single layer. In the former case, it is a type-II Weyl semimetal and in the latter a quantum spin Hall state. Resent reports showing the possibility to induce superconductivity in WTe₂ by proximity to a bulk superconductor or by electrostatic gating make it a promising platform for topological superconductivity and quantum computation. Here we report on a novel mechanism of inducing superconductivity within few-layers of WTe₂ by normal metal contacts. In transport measurements we find that the induced superconductivity is highly anisotropic in magnetic field and survives up to 7 Tesla in in-plane field. Superconducting transport persists over µm distances at temperatures up to 1 Kelvin. Our results could provide insight to the superconducting state in WTe₂ and its topological nature.