  We report on the fabrication of micro-axicons made of glass by laser-assisted
wet etching (LAE) and laser polishing. The employed technique, relying on an
efficient direct-writing process by femtosecond laser, allows revealing high
fidelity profiles while etched in a heated potassium hydroxide (KOH) solution.
The remaining surface roughness is then smoothened by carbon dioxide (CO2)
laser polishing. Such polishing is limited to the skin of the component so that
the tip is only slightly rounded, with a radius of curvature of nearly 200
{\mu}m. It is then shown with 500 {\mu}m-diameter axicons that the quasi-Bessel
beam is generated closely after the tip, and features a 5.3 {\mu}m diameter
maintained over a propagation distance of almost 3.5 mm.
