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The Zipoy-Voorhees-Weyl (ZVW) spacetime characterized by mass ($M$) andoblateness ($\delta $) is proposed in the construction of viable thin-shellwormholes (TSWs). Departure from spherical / cylindrical symmetry yieldspositive total energy in spite of the fact that local energy density may takenegative values. We show that oblateness of the bumpy sources / black holes canbe incorporated as a new degree of freedom that may play role in the resolutionof the exotic matter problem in TSWs. Small velocity perturbation reveals,however, that the resulting TSW is unstable.

Thin-shell wormholes supported by total normal matter