The coupling between a Trivelpiece-Gould wave with a frequency close to the electron cyclotron frequency to a fast wave, propagating with almost the light velocity in vacuum inside a metallic cylindrical waveguide much below cutoff, is observed along a magnetized plasma column with a strong axial density gradient. The fast wave is characterized by the experimental determination of its dispersion as well as by measurements of its electric and magnetic field radial structures and associated polarization. A preliminary theoretical description of this electromagnetic wave, consistent with all the relevant experimental observations is presented, strongly suggesting that it belongs to a kind of radially evanescent modified cold plasma 'left-ordinary' mode.