The influence of a magnetic field on the peristaltic transport of Jeffrey fluid in an unevenly curved conduit has been explored in this paper. A radial magnetic field is applied to a fluid in the direction of flow. The governing equations for flow, heat, and mass transmission are formulated using approximations based on a large wavelength and a tiny Reynolds number. An exact solution is obtained. The formulae for velocity profile, temperature, concentration, and stream function are computed. While plotting graphs and stream functions, the physical properties of pertinent parameters have been discussed.