A circular antenna array (CAA) is proposed and demonstrated for the generation of optimal pseudo-Bessel beams at millimeter-wave frequencies. Numerical simulations show that a 91-element array produces a Bessel beam of a 7λ main lobe width over a distance of 180λ. Based on this report, it is suggested that Bessel beams may provide a unique solution to millimeter-wave quasi-optical systems by providing highly focused beams with small-sized antennas.