We discuss a construction of a wormhole with the following properties: the wormhole connects to the same asymptotic region and is one-way traversable i.e. there exist timelike curves that start and end in the same asymptotic region and go through the wormhole. Moreover it is possible to satisfy the energy conditions. From any point in the asymptotic region there exist closed timelike curves.

PACS numbers: 04.20.Gz