A new method to generate non-diverging dark-hollow beams at the output of a singlemode pigtailed laser diode is presented. It consists of positioning a circular aperture at the output of the fiber. The dark-hollow beam generated exhibits an angle of divergence as low as 0.28 degrees. The beam can then be collimated by a lens to observe a non-diverging dark-hollow beam which conserves its structure over more than 20 cm. Experimental results are well-predicted by the theoretical analysis that we have developed.