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