We show that Bessel beams can contain similar properties to perfect vortex beams in that the central ring radius and its width in these Bessel beams are quasi-constant with different orbital angular momentums. The relation between Bessel beams and Laguerre–Gauss (LG) beams allows the Bessel beams to have these perfect properties by merit of their connections between the radial wave component and their waist, while the LG beams have the perfect-LG beam parameters. Furthermore, the central ring radius in Bessel beams is compared with its corresponding rings in the perfect-LG beams and the perfect vortex beams. Since there is a relation between Bessel and LG beams in the paraxial approximation, we propose that these light beams can be experimentally generated with spatial light modulators, and they could have applications in optical communications.