We report beyond mean-field many-body calculations of ground-state mass current and superfluid fraction for a system of few bosons confined in a ring geometry in the presence of a rotating weak link induced by a potential barrier. We apply the multiconfiguration Hartree method for bosons to do beyond mean-field calculations of the average superfluid fraction for various barrier heights, interaction strengths, and number of particles. This approach presents us a way to continuously sweep the interaction from a weak to strong case. For different rotating frequencies, the ground-state energy remains periodic but with a different landscape depending on the barrier height, and this periodicity implies a decrease on the mass current for fast rotating barriers. With the rotation frequency close to zero, our results show that by sufficiently increasing the barrier, the superfluid fraction eventually drops to zero regardless of interaction strength and number of particles. Also, the condensate fraction depends almost exclusively on the interaction strength, which shows independence of superfluidity and condensation. We also obtained correlation functions to explain the superfluidity behavior, which is not possible in the mean-field theory. This may be relevant to new devices based on atomtronics.