It is shown that a racemic array of helical-shaped metallic wires (magnetic wire medium) supports a nearly dispersionless transverse electric (TE) mode with phase velocity almost independent of the wave vector. The metamaterial may be characterized by an extreme magnetic anisotropy, and hence may be regarded as the magnetic analogue of the standard wire medium formed by straight wires. It is demonstrated with full-wave simulations that the magnetic wire medium enables channeling the near field of TE waves.